The generator matrix

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

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+50x^65+81x^66+92x^67+116x^68+94x^69+72x^70+62x^71+54x^72+46x^73+57x^74+62x^75+41x^76+24x^77+30x^78+32x^79+19x^80+26x^81+5x^82+4x^83+16x^84+10x^85+10x^86+2x^87+6x^88+6x^89+1x^90+2x^91+3x^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 77.1 seconds.