The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+274x^64+536x^66+749x^68+814x^70+925x^72+856x^74+899x^76+854x^78+831x^80+618x^82+405x^84+252x^86+126x^88+30x^90+11x^92+8x^94+2x^96+1x^104

The gray image is a linear code over GF(2) with n=150, k=13 and d=64.
This code was found by Heurico 1.10 in 20.7 seconds.