The generator matrix

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

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+96x^67+182x^68+198x^69+165x^70+138x^71+203x^72+204x^73+176x^74+138x^75+118x^76+146x^77+121x^78+64x^79+28x^80+20x^81+15x^82+10x^83+7x^84+4x^85+1x^86+2x^87+4x^88+4x^89+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 28 seconds.