The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+270x^66+336x^67+692x^68+484x^69+932x^70+580x^71+910x^72+492x^73+692x^74+440x^75+615x^76+320x^77+541x^78+260x^79+248x^80+108x^81+167x^82+48x^83+25x^84+4x^85+19x^86+5x^88+3x^90

The gray image is a linear code over GF(2) with n=292, k=13 and d=132.
This code was found by Heurico 1.11 in 9.64 seconds.