The generator matrix

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

generates a code of length 81 over Z2[X]/(X^2) who�s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+185x^76+141x^80+102x^84+41x^88+30x^92+8x^96+1x^100+1x^104+1x^108+1x^116

The gray image is a linear code over GF(2) with n=162, k=9 and d=76.
This code was found by Heurico 1.16 in 15.8 seconds.