The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+95x^64+68x^65+304x^66+284x^67+459x^68+560x^69+647x^70+712x^71+533x^72+856x^73+796x^74+736x^75+469x^76+496x^77+420x^78+312x^79+156x^80+68x^81+100x^82+4x^83+58x^84+27x^86+13x^88+8x^90+5x^92+2x^94+2x^96+1x^100

The gray image is a linear code over GF(2) with n=292, k=13 and d=128.
This code was found by Heurico 1.16 in 4.91 seconds.