The generator matrix

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

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+161x^68+250x^69+271x^70+184x^71+199x^72+166x^73+223x^74+112x^75+127x^76+58x^77+60x^78+82x^79+42x^80+20x^81+36x^82+20x^83+28x^84+1x^86+2x^87+2x^88+2x^89+1x^90

The gray image is a linear code over GF(2) with n=292, k=11 and d=136.
This code was found by Heurico 1.11 in 0.218 seconds.