The generator matrix

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

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+46x^66+70x^67+106x^68+160x^69+147x^70+174x^71+131x^72+130x^73+130x^74+106x^75+119x^76+100x^77+88x^78+72x^79+88x^80+68x^81+52x^82+52x^83+43x^84+34x^85+39x^86+26x^87+20x^88+14x^89+8x^90+8x^91+4x^92+6x^93+2x^94+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 1.16 in 0.687 seconds.