The generator matrix

X 1 1 0 X 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 X X 1 X X 1 1 0 X 1 X X 1 X 1 X 1 X X 0 0 0 1 1 1 1 0 1 0 X 1 X 1 X 1 X X 0 0 X X 1 X X 1 1 1 0 X 1 X 0 1 1
1 1 X+1 1 X X 0 0 1 X 1 0 1 X 1 1 1 X X 0 X+1 X 0 X X 1 1 1 1 1 X 1 X X 1 1 1 X+1 0 0 1 1 0 1 1 X X X 1 0 1 X 1 X+1 1 1 1 1 X X X 0 X+1 1 1 X 1 1 0 0 X 1 0 X+1 0
X 0 X+1 X+1 1 X X+1 1 0 0 X+1 1 0 0 X+1 X X X X X+1 X+1 1 1 X+1 0 1 0 1 X+1 X X 1 1 X 0 X 1 X+1 1 0 X 0 1 1 0 0 X+1 X 0 X 1 0 0 1 0 0 X 0 0 1 0 1 X+1 0 X X+1 X X+1 X X X+1 0 1 X+1 0
0 0 X 0 X 0 0 1 1 1 1 X+1 1 1 X+1 0 0 X X+1 1 0 X X+1 X 0 X X+1 X+1 1 X+1 1 1 0 0 0 X X+1 X X X X+1 X 1 1 1 0 X X X+1 1 0 1 X+1 X 1 X 0 1 0 X+1 X 0 0 X+1 X+1 0 0 X+1 1 1 X X 1 X+1 0
X X 1 1 1 X X+1 0 1 X+1 X X X+1 X+1 X 1 X+1 1 0 X+1 0 0 1 0 1 X 0 X+1 1 X X 1 1 X+1 X+1 X 0 X+1 0 X 1 X 0 X+1 0 X+1 X 1 X+1 X 1 1 0 X+1 1 1 X 1 1 X+1 0 X+1 0 X X X X 1 1 X+1 X+1 X X+1 X 0
0 0 X 0 X 0 X 0 X 0 0 X 0 X X 1 1 X+1 1 1 X+1 1 1 X+1 1 1 X+1 1 X+1 X+1 X X 1 0 0 X+1 X+1 X+1 0 1 1 X+1 X+1 X X X X X+1 X+1 X 1 1 0 0 X+1 X X+1 0 1 0 1 0 0 X 1 X X+1 X+1 X 0 X+1 X+1 X+1 1 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+46x^64+80x^65+116x^66+166x^67+223x^68+232x^69+215x^70+252x^71+263x^72+224x^73+221x^74+226x^75+214x^76+234x^77+207x^78+200x^79+153x^80+152x^81+149x^82+130x^83+117x^84+76x^85+62x^86+44x^87+29x^88+24x^89+18x^90+6x^91+10x^92+2x^93+4x^94

The gray image is a linear code over GF(2) with n=150, k=12 and d=64.
This code was found by an older version of Heurico in 0 seconds.