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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+95x^64+126x^65+221x^66+294x^67+327x^68+312x^69+415x^70+364x^71+345x^72+524x^73+436x^74+518x^75+448x^76+448x^77+454x^78+432x^79+386x^80+384x^81+364x^82+290x^83+255x^84+176x^85+161x^86+116x^87+105x^88+68x^89+58x^90+34x^91+18x^92+8x^93+2x^94+4x^96+2x^97+1x^98

The gray image is a linear code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.10 in 3.72 seconds.