Can't see Apple_HFS partition after using Minitool Partition Wizard
The results you posted from the readgpt command leads me the following conclusions about your drive's partitions. The six partitions are listed in the order found on the drive.


~200 MB EFI partition (Usually hidden from the user)
~100 GB Windows partition
~75 GB OS X partition
~50 GB Windows partition
~650 MB OS X recovery partition (This is exactly the correct size)
~900 MB Windows partition


This is anything like what one would expect to see.

How to Fix Your Problem

From our posts and comments, it would appear the GUIDs for partitions 2 and 3 have been reversed. (The GUIDs identify the partition types. See this site for specific types.) The third party tool that I use to fix these types of problems is gdisk. You can download the zip file gdisk-windows-1.0.1.zip from this site.

Below are a the entries to gdisk32.exe that I made on a simulation of your disk. You should copy these entries.

C:\Users\david\Desktop&gt;gdisk32 \\.\PhysicalDrive0
GPT fdisk (gdisk) version 1.0.1

Partition table scan:
  MBR: protective
  BSD: not present
  APM: not present
  GPT: present

Found valid GPT with protective MBR; using GPT.

Command (? for help): t
Partition number (1-6): 2
Current type is 'Microsoft basic data'
Hex code or GUID (L to show codes, Enter = 700): af00
Changed type of partition to 'Apple HFS/HFS+'

Command (? for help): t
Partition number (1-6): 3
Current type is 'Apple HFS/HFS+'
Hex code or GUID (L to show codes, Enter = 700): 0700
Changed type of partition to 'Microsoft basic data'

Command (? for help): w

Final checks complete. About to write GPT data. THIS WILL OVERWRITE EXISTING
PARTITIONS!!

Do you want to proceed? (Y/N): y
OK; writing new GUID partition table (GPT) to \\.\PhysicalDrive0.
Disk synchronization succeeded! The computer should now use the new
partition table.
The operation has completed successfully.

C:\Users\david\Desktop&gt;


Your Apple_HFS partition should now appear in the Disk Utility.


  Note: For other readers, the commands used to dump the partition tables came from this site. The commands have to be executed in an "Administrator: Command Prompt" window. 


To open the Command Prompt window as an Administrator using Windows 10, right click on the Start Menu icon and select "Command Prompt (Admin)". See the image below.