Is Leptin Stimulated by Insulin Alone?
I have to say that this seems like a really odd approach to figuring out your diet.  The question of whether insulin increases satiety has been more specifically studied in the literature, as has the satiety generated by equicaloric portions of various kinds of foods, as have the actual effects of various specific diets in human feeding studies.  If you do a bit of digging, I'm sure you can find studies relating high/low GI diets to medically important outcomes (weight loss, blood lipids, fasting insulin levels, etc.), as opposed to their effect on one proposed satiety/fat regulation hormone (leptin).  Your approach also ignores leptin and insulin sensitivity, which might be as important as the levels themselves.  As someone concerned with which foods to actually eat, empirical studies of actual diets seem like the best place to look.

Anyway, here are a few relevant citations to help answer your question: 

This study found a increase in serum leptin levels in type I diabetic children who started insulin therapy:
Flück CE, Kuhlmann BV, Mullis PE. "Insulin increases serum leptin concentrations in children and adolescents with newly diagnosed type I diabetes mellitus with and without ketoacidosis." Diabetologia. 1999 Sep;42(9):1067-70.
http://www.ncbi.nlm.nih.gov/pubmed/10447517

A slightly smaller study asked the same question, and found no increase in leptin levels:
McCormick KL, Mick GJ, Butterfield L, Ross H, Parton E, Totka J. "Leptin in children with newly diagnosed type 1 diabetes: effect of insulin therapy." Int J Exp Diabetes Res. 2001;2(2):121-7. http://www.ncbi.nlm.nih.gov/pubmed/12369715

An in vitro study of rat fat cells does indicate a direct increase in leptin secretion/production when given insulin:
Barr VA, Malide D, Zarnowski MJ, Taylor SI, Cushman SW. "Insulin stimulates both leptin secretion and production by rat white adipose tissue." Endocrinology. 1997 Oct;138(10):4463-72. http://www.ncbi.nlm.nih.gov/pubmed/9322964 http://endo.endojournals.org/content/138/10/4463.full

...and in human fat cells:
Wabitsch M, Jensen PB, Blum WF, Christoffersen CT, Englaro P, Heinze E, Rascher W, Teller W, Tornqvist H, Hauner H. "Insulin and cortisol promote leptin production in cultured human fat cells." Diabetes. 1996 Oct;45(10):1435-8. http://www.ncbi.nlm.nih.gov/pubmed/8826983

Leptin levels are positively correlated with insulin levels and BMI (presumably as a proxy for fat mass?):
Lambrinoudaki I, Christodoulakos G, Panoulis C, Botsis D, Rizos D, Augoulea A, Creatsas G. "Determinants of serum leptin levels in healthy postmenopausal women." J Endocrinol Invest. 2003 Dec;26(12):1225-30. http://www.ncbi.nlm.nih.gov/pubmed/15055477

Thierry Thomas, Bartolome Burguera, L.Joseph Melton III, Elizabeth J. Atkinson, W.M. O'Fallon, B.Lawrence Riggs, Sundeep Khosla, "Relationship of serum leptin levels with body composition and sex steroid and insulin levels in men and women" Metabolism Volume 49, Issue 10, October 2000, Pages 1278–1284 http://www.sciencedirect.com/science/article/pii/S002604950041783X

This study found a positive relationship between changes in insulin levels and leptin levels, though it sounds like only in women. (I don't have the full text to check, and the abstract was ambiguous):
Widjaja A, Levy JC, Morris RJ, Frayn KN, Humphreys SM, Horn R, von zur Mühlen A, Turner RC, Brabant G. "Determinants of within-subject variation of fasting serum leptin concentrations in healthy subjects." Exp Clin Endocrinol Diabetes. 2000;108(3):208-13.
http://www.ncbi.nlm.nih.gov/pubmed/10926318

So based on an incomplete and cursory literature search, it seems likely that injecting insulin increases leptin production, as do some other activities that tend to increase insulin.  The evidence for causation in humans is not totally clear cut, though suggestive.