The generator matrix

 1  0  0  1  1  1  0 X^2 X^2  1  1  1  1 X^2+X  1  X  1  X  1 X^2+X  1  1  X  1  X X^2  1  1  1  1  1  1  1 X^2  1  0  X  1  1  1  X X^2  0  1 X^2  1  1  X  0 X^2  1  1  0 X^2+X  X  1 X^2+X  1  X  0  1  X X^2+X  1  1  1  1  1  1  1 X^2+X  1  1
 0  1  0  0 X^2+1 X^2+1  1  X  1 X^2  1 X^2+X X^2+X+1  1 X+1 X^2 X+1  X X^2+1  1 X^2+X  X  1  X  1  1 X^2  1 X+1 X^2+1 X^2+X+1 X^2+1  1  X X+1  1 X^2+X X^2  X X^2+X  1  0  1  X  1 X+1 X^2  1 X^2+X  1 X^2+X  0 X^2 X^2 X^2+X  0  1 X+1  1  1 X^2+1  1  1 X^2+X+1 X^2+X  X  0  1  1  0  1 X^2+1  X
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X  X X^2+X  1 X^2+1 X^2+1 X+1  1  0  1 X^2+1 X^2+1  1  X  X X^2 X^2 X+1 X^2+X+1  X X^2 X^2+X  X X^2  1  1 X^2+X+1 X^2  1 X^2+1 X^2 X+1 X+1  1  1 X^2+X  X X^2+X X^2 X+1  1 X^2+1  0  1  1  1  1  X X^2 X^2 X^2+1 X^2+X+1 X^2+X+1 X^2+X+1 X+1 X^2+1 X^2+X+1 X^2+X+1 X^2+1  1 X^2+X+1  X  0 X+1  0
 0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 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+126x^69+163x^70+176x^71+91x^72+76x^73+75x^74+92x^75+65x^76+46x^77+27x^78+24x^79+12x^81+23x^82+20x^83+1x^84+4x^85+2x^88

The gray image is a linear code over GF(2) with n=292, k=10 and d=138.
This code was found by Heurico 1.16 in 0.228 seconds.