The generator matrix

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

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+192x^67+324x^68+364x^69+451x^70+450x^71+363x^72+306x^73+312x^74+258x^75+248x^76+198x^77+162x^78+112x^79+110x^80+94x^81+45x^82+58x^83+26x^84+14x^85+5x^86+2x^87+1x^90

The gray image is a linear code over GF(2) with n=292, k=12 and d=134.
This code was found by Heurico 1.16 in 0.804 seconds.