The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+136x^68+228x^69+295x^70+232x^71+245x^72+180x^73+195x^74+66x^75+63x^76+68x^77+101x^78+52x^79+62x^80+42x^81+29x^82+18x^83+19x^84+4x^85+4x^86+6x^89+2x^92

The gray image is a linear code over GF(2) with n=292, k=11 and d=136.
This code was found by Heurico 1.16 in 0.367 seconds.