The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  0  0  1  1  1  0  1  1  0  1  1  0  0  1  1  0  0  X  X  X  X  0  X  X  0  1  1  0  1  1  X  1  1  0  1  1  X  X  1  1  1  0  X  1  1  1  1  0  X  1  X  0  X  0  1  1  X  X  X  X  1  1  1  1  1
 0  1  0  0  1 X+1  1  0  1  1 X+1  1  0  0  X X+1  1  X X+1  1  X  1  1  X  X  1  1  X  1  1  1  1  1  1  1  1  0 X+1  1  0 X+1  1  X  1  1  X  1  1  0 X+1  1  1  0  X X+1 X+1  1  1  0  X X+1  0  X  0  0  X  0  1  1  X  0  X  0  X  0  X
 0  0  1  1  1  0  1  X X+1 X+1  X  X  1 X+1  X X+1 X+1  0  1  1  1  X  0  1 X+1  0  X  1  1 X+1  1  1 X+1 X+1 X+1  1  0  0  0  X  X  X  X  X  X  0  0  0  0  X  1  1  1  1  0  0 X+1 X+1  1  1  X  0  X  X  0  1 X+1  0  X  1  1 X+1 X+1 X+1 X+1  1
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  0  X  X  X  0  0  X  X  0  X  X  0  0  0  X  X  X  0  X  X  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X  X  0  0  X  0  0  X  0
 0  0  0  0  X  X  0  X  0  X  0  X  X  X  X  0  0  0  X  X  0  0  0  0  X  X  X  X  X  0  X  0  X  0  X  0  X  0  X  0  X  0  0  X  0  X  0  X  0  0  X  0  X  0  X  0  0  X  0  X  X  X  0  X  0  X  0  0  X  0  X  0  X  0  X  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+30x^72+52x^73+33x^74+28x^75+22x^76+30x^77+16x^78+5x^80+10x^81+8x^82+2x^84+2x^85+4x^86+2x^89+3x^90+4x^91+4x^92

The gray image is a linear code over GF(2) with n=152, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0851 seconds.