The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+56x^66+70x^67+106x^68+160x^69+131x^70+174x^71+135x^72+130x^73+124x^74+106x^75+109x^76+100x^77+108x^78+72x^79+84x^80+68x^81+56x^82+52x^83+51x^84+34x^85+29x^86+26x^87+20x^88+14x^89+8x^90+8x^91+6x^92+6x^93+4x^95

The gray image is a linear code over GF(2) with n=150, k=11 and d=66.
This code was found by Heurico 1.10 in 0.234 seconds.