The generator matrix

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

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+60x^65+87x^66+98x^67+89x^68+88x^69+68x^70+56x^71+78x^72+38x^73+70x^74+50x^75+26x^76+42x^77+36x^78+28x^79+17x^80+18x^81+19x^82+10x^83+9x^84+6x^85+8x^86+12x^87+4x^89+2x^91+4x^92

The gray image is a linear code over GF(2) with n=144, k=10 and d=65.
This code was found by Heurico 1.16 in 0.212 seconds.