The generator matrix

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

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+44x^65+92x^66+96x^67+80x^68+94x^69+83x^70+78x^71+86x^72+60x^73+44x^74+34x^75+27x^76+20x^77+40x^78+26x^79+16x^80+22x^81+18x^82+14x^83+9x^84+12x^85+5x^86+8x^87+5x^88+2x^89+6x^90+2x^93

The gray image is a linear code over GF(2) with n=144, k=10 and d=65.
This code was found by Heurico 1.10 in 0.063 seconds.