The generator matrix

1 0 0 0 0 0 1 1 1 2 1 2 1 1 2 0 1 1 1 1 2 1 2 1 1 0 2 1 0 1 0 0 2 0 2 0 0 2 2 1 1 1 1 2 0 2 1 1 1 1 2 1 1 0 1 0 1 1 1 1 2 2 2 2 1 0 0 0 0 1 1 2 1 1 0 1 2 1 1 0 2 0 0 0 1 1 1 1 1 2 2 1 0 1 0 1
0 1 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 1 1 1 1 1 1 3 3 1 1 1 1 3 1 1 1 0 1 2 2 2 1 1 0 1 2 1 1 1 1 0 3 0 1 3 3 1 3 1 0 0 3 3 0 2 0 1 3 1 2 1 2 1 2 2 0 2 1 0 1 2 3 2 0 1 0 1 0 3 1 1 2 0 2 0 2 0 2 2
0 0 1 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 1 1 1 1 1 1 1 1 3 3 1 3 3 3 3 3 3 2 1 1 3 1 3 1 1 1 1 0 2 1 2 3 3 2 1 0 1 3 0 1 3 2 0 1 2 2 3 1 1 2 1 2 1 0 1 3 1 1 2 0 1 3 0 0
0 0 0 1 0 0 0 1 1 1 2 1 0 3 2 1 1 2 3 0 0 1 3 2 2 2 1 1 0 1 1 3 1 1 3 3 0 3 1 3 2 1 2 0 2 1 2 3 1 0 0 0 2 3 0 0 1 3 1 2 1 0 1 3 2 1 2 1 3 1 0 3 1 0 2 3 1 0 3 1 0 0 3 3 1 1 3 0 2 2 2 1 3 1 1 0
0 0 0 0 1 0 1 2 3 3 3 1 0 3 1 2 0 1 0 2 1 1 2 0 1 2 2 3 1 2 3 3 0 0 3 1 3 1 1 0 0 0 0 1 2 0 2 2 1 2 3 0 3 1 1 2 1 2 2 2 3 0 0 3 0 0 1 3 2 3 2 1 3 1 2 1 2 3 3 2 2 0 3 2 3 3 2 3 2 0 2 2 0 0 1 1
0 0 0 0 0 1 2 0 0 2 1 1 1 3 3 3 3 0 2 1 0 3 1 0 3 3 0 2 1 1 1 2 3 2 1 0 0 1 2 1 1 0 2 2 1 2 2 3 2 2 3 1 2 3 3 0 1 2 2 3 2 3 0 3 3 3 1 2 3 3 3 3 1 0 3 3 2 2 0 0 3 2 1 1 0 3 1 0 2 0 1 3 2 2 2 3

generates a code of length 96 over Z4 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+76x^85+141x^86+138x^87+173x^88+216x^89+263x^90+250x^91+211x^92+208x^93+231x^94+230x^95+176x^96+192x^97+211x^98+178x^99+149x^100+152x^101+140x^102+124x^103+108x^104+114x^105+98x^106+62x^107+58x^108+52x^109+52x^110+26x^111+10x^112+12x^113+16x^114+14x^115+10x^116+2x^119+2x^121

The gray image is a code over GF(2) with n=192, k=12 and d=85.
This code was found by Heurico 1.10 in 1.3 seconds.