The generator matrix

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

generates a code of length 88 over Z4 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+46x^85+43x^86+60x^88+80x^89+20x^94+3x^96+2x^117+1x^118

The gray image is a code over GF(2) with n=176, k=8 and d=85.
This code was found by Heurico 1.16 in 2.13 seconds.