The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+86x^65+147x^66+162x^67+226x^68+256x^69+233x^70+246x^71+241x^72+254x^73+217x^74+178x^75+261x^76+238x^77+211x^78+172x^79+148x^80+150x^81+128x^82+126x^83+105x^84+80x^85+70x^86+62x^87+38x^88+22x^89+16x^90+14x^91+4x^92+2x^93+2x^94

The gray image is a linear code over GF(2) with n=150, k=12 and d=65.
This code was found by Heurico 1.10 in 1.06 seconds.