The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0 X^2  1  1  1  1  1 X^2  1  1  1  1  1  1  1  0  X  1  1  1  X  X  1  1  0  1  X  1 X^2  X  0  1  0  1
 0  X  0  0  0  X X^2+X  X X^2 X^2  X  0  0  X  X X^2+X  0  0 X^2+X  X X^2  X X^2+X X^2 X^2  0 X^2  X X^2+X  X  0 X^2+X  X X^2+X X^2  0  X X^2 X^2+X X^2  X X^2 X^2+X X^2 X^2 X^2+X  X X^2+X  0  0  X  X X^2+X X^2+X  0  0  0  X  0 X^2+X  X X^2+X  0 X^2 X^2+X X^2+X  X X^2  X  X X^2+X  X  0
 0  0  X  0  X  X  X  0 X^2  0 X^2+X  X X^2+X  0 X^2+X  0 X^2 X^2+X X^2 X^2+X  0 X^2  X  X  0  0  X  X X^2 X^2+X  X X^2  0  0  X  0 X^2  X  X  X X^2 X^2+X X^2+X X^2+X  X  0 X^2+X  X  X X^2+X  0  X X^2 X^2+X  0  X X^2 X^2+X X^2  X X^2+X X^2 X^2  X X^2+X X^2+X  X  0 X^2+X  X  0  0 X^2
 0  0  0  X  X  0  X X^2+X  0  X X^2  X X^2 X^2+X  X  0 X^2  X  X  0 X^2+X X^2 X^2+X X^2 X^2+X  0  X X^2+X  0  0 X^2  X X^2+X X^2+X  0  0  0 X^2+X  X  0 X^2+X X^2+X  X X^2+X X^2  0  0 X^2 X^2 X^2  0 X^2+X X^2+X  0  X  X  X X^2 X^2  X  X X^2  0  0  X  0  X  X  0 X^2  X X^2  X
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2
 0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0  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+138x^66+4x^67+154x^68+80x^69+270x^70+108x^71+268x^72+144x^73+245x^74+76x^75+191x^76+96x^77+113x^78+4x^79+52x^80+53x^82+27x^84+13x^86+10x^88+1x^120

The gray image is a linear code over GF(2) with n=292, k=11 and d=132.
This code was found by Heurico 1.16 in 2.37 seconds.