The generator matrix

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

generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+37x^76+116x^78+127x^80+74x^82+50x^84+40x^86+16x^88+12x^90+3x^92+10x^94+16x^96+2x^98+6x^100+2x^110

The gray image is a linear code over GF(2) with n=164, k=9 and d=76.
This code was found by Heurico 1.10 in 0.016 seconds.