The generator matrix

 1  0  0  0  0  1  1  1  0 X^2  1  1  1  0  0  1 X^2  1  1  1  1  1 X^2+X  X  1  1  0 X^2 X^2+X  1  1  1 X^2+X X^2+X  1 X^2  X  1  1  0 X^2  1  0  1  1  1  1  0  0  1  X  X  1  1 X^2+X  1  1  X X^2  1  0  1  1  1  1  0  1  X  X X^2 X^2+X  X  X  X  1
 0  1  0  0  0  0  0  0 X^2  0  0 X^2  0  0 X^2  X  1 X^2+1 X+1 X^2+X+1 X+1  1  1  1 X+1  1  1  1  X X^2+X X^2+X X^2+X+1  1  1  1  X  1 X^2 X^2+X  1  1 X^2+X  1 X+1  X X^2+X  0  0  1  1  1  1 X^2+X+1 X^2+1 X^2 X^2+X+1 X^2+1  X X^2  1 X^2+X X^2+X+1 X^2  X  1  1 X+1  X X^2  1  1 X^2+X  0  1 X^2
 0  0  1  0  0  0  1  1  1  1 X^2 X^2+X+1 X+1  1  X  X X^2+X+1 X+1 X^2+X X^2+X X^2 X^2+X X^2+X+1 X^2+1 X+1 X^2+X+1 X^2+X  0 X^2 X^2+1  0 X^2+X+1 X^2+X X+1  X  1 X^2+1  1 X^2 X^2 X^2+1  X  1 X^2+X X^2+X X^2  1  X X^2+1 X+1  0  0 X^2+1 X^2+1  1 X+1 X^2+X+1  1  1 X^2  1 X+1 X^2+1 X^2+1 X^2 X^2+X X^2+1  1  1 X^2+1  1  0  1 X^2+X+1  0
 0  0  0  1  0  1  1 X^2 X^2+1 X^2+1  X  1  X X^2+X  1 X+1 X^2+X X^2+1 X^2+X  1 X^2+1 X^2+X X^2+X+1 X+1  0  1  1  X  0 X^2  0  X X^2+1 X^2+X X^2  X X^2 X^2+X+1 X^2+1 X^2+1 X^2+X X^2+1  1  1  X X^2 X^2+X+1  1 X+1  X  0 X+1 X^2+1 X^2+1 X^2  1 X^2  1 X^2+X+1  1  0 X+1 X+1  1 X^2+X+1 X+1  X  0  X  1  1  X  0 X^2+1  0
 0  0  0  0  1  1 X^2 X^2+1 X^2+1  X X^2+X+1 X^2+X+1  0 X+1 X+1 X^2  X X^2+1  X X+1  X X^2+1 X^2+X+1  0 X^2 X^2 X^2+X X^2+1  1  1  X  1 X^2+1  1 X^2+X+1  0 X^2+X X^2+X  X X^2 X^2+1 X+1 X^2 X^2+1 X^2+X  1 X^2+X+1  0 X^2+1 X+1  X  0 X^2+X+1 X^2  1 X^2+X X^2+X X^2+1 X+1 X^2+X  0 X^2+X+1 X^2+1  0  X X^2+X  X X+1  X  1 X^2+X  1 X^2 X^2+1  X
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+63x^64+418x^65+863x^66+1338x^67+1817x^68+2584x^69+3439x^70+3758x^71+4691x^72+5374x^73+5562x^74+5742x^75+5627x^76+5462x^77+4700x^78+4128x^79+3212x^80+2192x^81+1831x^82+1246x^83+661x^84+386x^85+227x^86+106x^87+49x^88+32x^89+16x^90+2x^91+7x^92+2x^94

The gray image is a linear code over GF(2) with n=300, k=16 and d=128.
This code was found by Heurico 1.13 in 60.8 seconds.