The generator matrix

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

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+16x^69+17x^70+32x^71+25x^72+8x^73+12x^74+4x^76+1x^78+1x^80+8x^81+1x^86+1x^88+1x^94

The gray image is a linear code over GF(2) with n=144, k=7 and d=69.
This code was found by Heurico 1.16 in 0.155 seconds.