What joseki, if any, yields this position on page 60 of 38 Basic Joseki?
The joseki
This is, as mafu pointed out, the result of a joseki starting with high and low near kakaris against a hoshi, shown in  38 Basic Joseki, page 188, Dia. 4 (with colours swapped and rotated to match the question), and in Josekipedia:
$$Wc Double kakari joseki
$$ -----------
$$ ..........-
$$ ......c7b.-
$$ a...X.54..-
$$ O...9.O6..-
$$ d....38...-
$$ .....1X...-
$$ .....20...-
$$ ..........-

N.B. The pincer is not visible in the diagram mentioned in the question.
The position is also shown in Ishida’s Dictionary of Basic Joseki, Vol II, p. 186, Dia. 96, but with the White pincer (Black in Ishida as the colours are reversed) at a; in this case, after White 9, Black exchanges b for White c before connecting at 10, and finally White plays at d.
This joseki appeared not to be in Senseis Library, though it belonged on the page 4-4 point, low-high double approach, hane; I have since added it there. Eidogo appears to contain only double high and double low kakaris against hoshi, but not the high/low variant.
How to find it
To be worked out

I tried without success to find this joseki/position with pattern search on Sensei’ s Library and Eidogo. That was reasonable, as it appears not to have been in either source, though I have since added it to Sensei and it is now found. I also failed to find it in 38 Basic Joseki, and in Ishida’s Dictionary of Basic Joseki; that was mainly due to not guessing correctly how the joseki started.  I also failed to find it by experimentation on Josekipedia, again through not trying guessing the start. To add: suggestions for more effective searching.
Since Black has seven stones to White’s six, he must have started (probably 3-3, 3-4 or 4-5) or White must have started and then played tenuki.