The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  X  1  1  X  1  1  X  1  1  X  1  1  X  1  1  X  1  1  X  1  1  1  1  1  1  X  1  1  1  X  X  X  X  X  X  0  0  0  0  0  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1
 0  1  1  0  1  1 X+1  0  1  0 X+1  1  0 X+1  1  0  1  1  0 X+1  1  0  1  1  X X+1  1  X X+1  1  X X+1  1  X X+1  1  X  1  1  X  1  1  X  1  1  X  1  1  0  0  0  0  0  X  X  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X X+1 X+1 X+1 X+1  1  1 X+1  1 X+1  1  1 X+1  1  0  1 X+1
 0  0  X  0  0  0  0  X  X  X  X  X  0  0  0  X  X  X  0  X  0  X  0  X  X  0  X  X  0  X  0  X  0  0  X  0  X  X  X  X  X  X  0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  X  X  0  0  0  0  0  X  X  X  X  0  0  0  X  X  0  X  X  X  X  0  0  0  0  X  0
 0  0  0  X  0  X  X  X  X  0  X  0  0  0  X  X  X  0  X  0  0  0  X  X  0  0  0  X  X  X  X  X  X  0  0  0  0  0  0  X  X  X  X  X  X  0  0  0  0  0  X  X  X  X  0  0  0  X  0  0  X  X  X  X  0  X  X  X  X  0  0  0  0  X  X  0  0  0  X  X  X  X  X  X  X  X  0
 0  0  0  0  X  0  X  X  X  X  0  X  X  0  X  0  X  0  X  X  X  0  0  0  0  X  0  X  0  X  0  X  0  X  0  X  X  X  X  0  0  0  X  X  X  0  0  0  0  X  X  0  0  0  X  X  0  X  0  X  X  0  0  X  X  X  0  0  X  X  0  0  X  X  0  0  0  0  0  X  X  X  0  0  0  X  X

generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+44x^85+24x^86+30x^88+16x^89+2x^93+8x^94+2x^109+1x^112

The gray image is a linear code over GF(2) with n=174, k=7 and d=85.
This code was found by Heurico 1.16 in 27.7 seconds.