The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+130x^69+88x^70+278x^71+53x^72+156x^73+45x^74+60x^75+39x^76+50x^77+9x^78+46x^79+15x^80+20x^81+12x^83+3x^84+12x^85+1x^86+4x^87+1x^88+1x^90

The gray image is a linear code over GF(2) with n=292, k=10 and d=138.
This code was found by Heurico 1.11 in 0.156 seconds.