Just looking at this, if you put the SH2 before the WN2, and only use one WN2 charge on a SH2, you should be able to fit another HT in before the MM2.

CZ, IQ, SH2, WN, HT, HT, HT, HT, SH2, HT, HT, HT, HT, HT, HT, CZ, MM2, SH2, HT, HT, GS, BB, SH, Name, Ing2, Brand, Brand, Brand, CS2.

12 HT's, though one is not covered by a SH2.