The generator matrix

 1  0  0  0  1  1  1  0  0 X^2 X^2  1  1  1  1  X  1  1  1  X  1  0 X^2+X X^2  1  1  1  X X^2+X  1  1  X  1 X^2  1  1 X^2+X X^2  1  1  1 X^2  1 X^2+X  1 X^2+X  1  1  1  1  1  1  1  0  1 X^2  1  X  1  1  1 X^2+X X^2 X^2+X X^2+X  1  1 X^2+X  X  1 X^2  0  0
 0  1  0  0  0  1  1  1 X^2  1  1  0  1 X+1 X^2 X^2+X X^2+X+1 X+1 X^2+X  1  1  X  1 X^2+X  X  X X+1  1  1  0 X^2+X+1  0  0  1 X^2+1 X^2  1  1 X^2+1  0  X X^2 X^2+1  1 X^2+1 X^2+X X^2+X  X X^2 X^2+X X+1  X X^2+X  X  1 X^2 X+1 X^2 X^2+X X^2 X^2+X  1  1 X^2  1 X^2+X+1 X^2+1 X^2  X  0  1  1  1
 0  0  1  0  1 X^2 X^2+1  1  1  0  1 X^2  1 X^2 X^2+1  1  1  0  1 X+1 X+1  1 X^2  X  X X^2+1 X^2+X  0 X+1 X^2+1  0  1 X^2+X X^2+X X^2  X  1 X^2+X+1  1  X  1  1 X+1  0  0  1  X  X X^2 X+1  0 X^2+X X^2 X^2+X X^2+X  1 X^2+X  1 X+1 X^2+X X^2+1 X^2+1 X+1  1 X^2+X+1  0 X^2+1 X^2+X  1  X  X X^2+X+1  1
 0  0  0  1 X^2  0 X^2 X^2  1  1 X^2+1  1  1 X+1  1  0  X X^2+X X^2+X  0 X^2+X+1 X+1 X^2+X+1  1  1 X^2+1 X^2+X+1 X^2+X X^2+1 X^2+X X^2+1  1  0 X^2  X X+1  X X^2+X+1 X^2+X+1  1 X^2 X^2+X X^2  1 X+1 X+1 X^2 X^2+X+1 X^2+X  1  0  X X^2+1  1  0 X^2+X+1 X^2  0 X^2+X  X X+1 X^2+X+1 X^2+1 X^2+X+1  X  0  X  1  0 X^2+X X^2+X+1 X^2+X+1  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+196x^67+258x^68+478x^69+350x^70+526x^71+273x^72+426x^73+224x^74+338x^75+171x^76+278x^77+93x^78+174x^79+74x^80+96x^81+54x^82+26x^83+20x^84+16x^85+11x^86+4x^87+2x^88+2x^89+4x^90+1x^92

The gray image is a linear code over GF(2) with n=292, k=12 and d=134.
This code was found by Heurico 1.11 in 0.375 seconds.