The generator matrix

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

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+88x^76+128x^78+112x^80+54x^82+47x^84+32x^86+4x^88+10x^90+6x^92+10x^94+11x^96+2x^98+3x^100+2x^102+2x^106

The gray image is a linear code over GF(2) with n=162, k=9 and d=76.
This code was found by Heurico 1.10 in 0.015 seconds.