The generator matrix
1 0 0 0 1 1 1 1 1 0 X 0 1 X 1 1 0 0 X X 1 0 1 1 0 1 1 1 1 0 X X 1 X 1 0 X 1 1 1 1 0 X 0 X 1 1 1 0 1 0 1 1 X 0 1 1 0 X 1 1 1 1 X 0 1 1 1 1 1 0 1 1 0 1
0 1 0 0 0 1 1 X 0 0 1 1 X+1 1 X X+1 1 1 1 0 X+1 0 1 1 1 X X X X+1 X X 1 0 0 1 1 1 X+1 1 X 0 1 1 X 1 X+1 0 1 0 X+1 0 X X+1 0 X X+1 X 0 1 0 1 X+1 1 1 1 X 0 1 X 0 0 X 1 1 0
0 0 1 0 1 1 0 0 X+1 1 X 1 X+1 X+1 0 0 X 1 1 1 X 1 X 1 0 1 X X+1 1 X 1 X+1 1 0 1 X X+1 0 1 0 X 1 0 1 X+1 1 X+1 0 1 1 1 X+1 X 1 1 1 1 0 1 X+1 X+1 X+1 X X+1 X X X X+1 0 1 X 0 X 1 X
0 0 0 1 1 0 1 1 0 X+1 X+1 1 X+1 X 0 X X+1 X+1 0 X+1 X+1 0 X X 0 X+1 1 X 1 1 0 0 1 1 X+1 1 X 0 0 1 X 1 X X+1 0 X X+1 X+1 X+1 0 0 X+1 1 0 X+1 0 X 1 0 1 1 X+1 X X+1 X X+1 0 X X+1 1 1 1 X+1 1 X
0 0 0 0 X 0 0 0 X X 0 X 0 0 X 0 X 0 X 0 X X X X X 0 X 0 0 0 X X X X 0 0 X 0 0 0 0 0 X 0 X X 0 0 0 X 0 0 0 X X 0 X 0 0 X X X X 0 X X 0 0 X 0 X 0 0 0 X
0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X X 0 X 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 0 X X 0 0 0 0 X 0 X X 0 0 0 X X 0 0 X X 0 X 0 X X X X 0 X 0 0 0 X
0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 X X X 0 X X 0 0 X X X 0 X X 0 X X 0 X X 0 X 0 0 0 0 X X X 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+45x^66+82x^67+115x^68+144x^69+147x^70+152x^71+161x^72+136x^73+110x^74+112x^75+87x^76+116x^77+95x^78+72x^79+74x^80+66x^81+68x^82+66x^83+36x^84+34x^85+40x^86+16x^87+32x^88+14x^89+5x^90+12x^91+6x^92+2x^93+2x^94
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 0.74 seconds.