The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+92x^65+279x^66+322x^67+545x^68+538x^69+802x^70+670x^71+748x^72+628x^73+796x^74+478x^75+655x^76+362x^77+407x^78+248x^79+223x^80+136x^81+79x^82+84x^83+62x^84+18x^85+5x^86+6x^87+6x^88+2x^93

The gray image is a linear code over GF(2) with n=292, k=13 and d=130.
This code was found by Heurico 1.16 in 3.71 seconds.