The generator matrix

 1  0  1  1  1 X^2  1  1  X  1  1  X  1  1  0  1  1  0  1  1  X  X  1  1  1  0  1  1  1 X^2+X X^2  X  1  1  1  1  1  1  1  1  0 X^2+X  X  1  0  1  1  1 X^2+X  X  0  1  1  1  1  X  1  1  1  1  X  1  X  1  1  1  X  X X^2  1  1  1  1
 0  1  1  0 X+1  1 X^2+X+1  0  1  0  1  1 X^2 X+1  1  0 X+1  1 X^2  1  1  1  0 X^2+1 X^2+X  1 X^2+1 X^2+X+1  X  1  1  1 X+1  1 X^2+X X^2+X X^2+X  X X+1 X^2+1  1  1 X^2 X^2+1  1  X X^2+X+1 X^2+X  1 X^2  X X^2+X+1  1 X^2+1 X+1  X X^2+X+1 X+1 X^2+X+1 X^2+X+1  0 X+1 X^2 X^2+X+1 X+1 X+1  0 X^2+X  X X^2+X X^2  0  0
 0  0  X  0  0  0  0  X  X  X  X  X X^2 X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  X  X  0 X^2+X  0 X^2  X  0  X  0  0 X^2+X X^2  X X^2+X X^2 X^2+X X^2  X X^2 X^2+X X^2  X X^2+X  0  X X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  0  0  0 X^2+X  X  0  X  0 X^2+X  X X^2 X^2+X  X  0 X^2 X^2
 0  0  0  X X^2 X^2+X X^2+X  X X^2 X^2 X^2+X  X  0 X^2  0  X X^2+X X^2+X X^2  0  X X^2  X X^2+X  X  X X^2  0  X X^2+X  0  0 X^2+X  X  0  0 X^2 X^2  X X^2+X X^2 X^2  0  0 X^2+X X^2+X X^2 X^2+X  X X^2+X  X  X X^2+X  X  0 X^2 X^2 X^2+X X^2  0  X  X  X X^2+X  X X^2+X  0  X  X  0  X  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+162x^69+98x^70+224x^71+47x^72+148x^73+66x^74+98x^75+8x^76+44x^77+14x^78+50x^79+4x^80+24x^81+6x^82+6x^83+2x^85+8x^86+6x^87+3x^88+4x^89+1x^96

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 44.4 seconds.