The generator matrix

 1  0  1  1  1 X^2  1  1  0  0  1  1  1  0  1 X^2  1  1  1  1  0  1  0  1  1  1 X^2+X X^2+X  1 X^2+X  1  1  1  1 X^2+X  1  X  1 X^2 X^2  1  1  1  X X^2+X  1  1  X  1  1 X^2+X  X  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  X  1  1
 0  1  1  0  1  1 X^2 X+1  1  1  0 X^2+X+1 X^2+1  1  0  1 X^2  1  1  0  1 X^2+1  1 X^2+X X^2+X X^2+1  1  1 X^2+X+1  1 X^2+1  0  X X^2+X+1  1  X  1 X+1  1  1  0 X^2+X X^2+X  1  1  1 X^2+X+1  1 X^2+1 X^2+X  1  1 X^2+1 X^2+X X^2  1 X+1 X+1 X+1  X X^2+X X+1 X^2+X X+1 X^2+1 X^2+X  X X+1  1 X^2+X+1  1 X^2+X X^2
 0  0  X  0  0  0  0 X^2 X^2 X^2  0  0 X^2  X X^2+X X^2+X  X  X X^2+X X^2+X X^2+X X^2+X X^2+X X^2  X X^2  X X^2  0  0  X X^2+X  0 X^2+X X^2+X X^2  X X^2+X  0  0  X X^2  X  0 X^2+X X^2+X X^2  X X^2  0  0 X^2+X  0 X^2+X X^2+X X^2+X X^2  X X^2+X  0  X X^2 X^2+X  X  0  0 X^2+X X^2+X X^2 X^2 X^2 X^2 X^2+X
 0  0  0  X  0  0 X^2 X^2  X  X X^2+X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X  X  0  X X^2 X^2+X  0  X X^2 X^2+X  X X^2+X X^2  X  X  X X^2 X^2 X^2  0 X^2+X  0 X^2+X  0 X^2 X^2 X^2  0  0 X^2+X X^2+X  0  X X^2+X X^2+X X^2  X  X X^2+X X^2+X  0 X^2+X X^2+X X^2+X  X  X  0 X^2+X X^2  X X^2+X  0 X^2+X  0  X X^2+X  X
 0  0  0  0  X X^2+X X^2+X X^2 X^2+X  0 X^2+X  0  X X^2 X^2+X X^2+X  X X^2+X  X X^2  X  0 X^2  X  X X^2  0  0  X X^2+X X^2  X  0  0 X^2 X^2  X X^2+X  0 X^2  0 X^2+X X^2+X X^2 X^2+X  X  0  0 X^2 X^2+X  X X^2+X  X X^2  X X^2  X X^2  X  0 X^2 X^2+X  0 X^2+X X^2 X^2 X^2  X X^2  0 X^2+X X^2  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+136x^66+128x^67+356x^68+240x^69+456x^70+256x^71+424x^72+288x^73+372x^74+256x^75+390x^76+240x^77+224x^78+128x^79+91x^80+38x^82+31x^84+20x^86+14x^88+2x^90+2x^92+2x^96+1x^100

The gray image is a linear code over GF(2) with n=292, k=12 and d=132.
This code was found by Heurico 1.16 in 1.12 seconds.