The generator matrix

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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+23x^72+66x^73+35x^74+22x^75+26x^76+18x^77+18x^78+8x^79+8x^80+4x^81+5x^82+2x^84+4x^86+2x^88+4x^89+2x^90+2x^91+2x^92+2x^93+2x^97

The gray image is a linear code over GF(2) with n=152, k=8 and d=72.
This code was found by Heurico 1.10 in 0 seconds.