The generator matrix

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

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+88x^59+168x^60+276x^61+379x^62+504x^63+558x^64+588x^65+732x^66+776x^67+849x^68+948x^69+859x^70+868x^71+1027x^72+1004x^73+985x^74+894x^75+875x^76+816x^77+766x^78+650x^79+453x^80+420x^81+307x^82+226x^83+142x^84+96x^85+64x^86+26x^87+20x^88+12x^89+4x^90+2x^92+1x^128

The gray image is a linear code over GF(2) with n=144, k=14 and d=59.
This code was found by Heurico 1.10 in 13.1 seconds.