The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+70x^67+178x^68+204x^69+176x^70+194x^71+196x^72+176x^73+175x^74+144x^75+123x^76+132x^77+114x^78+60x^79+27x^80+28x^81+22x^82+6x^83+2x^84+5x^86+2x^87+4x^89+2x^90+4x^91+1x^92+1x^94+1x^98

The gray image is a linear code over GF(2) with n=292, k=11 and d=134.
This code was found by Heurico 1.16 in 0.476 seconds.