The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+280x^64+608x^65+1248x^66+1432x^67+1772x^68+2128x^69+2256x^70+2664x^71+2608x^72+2860x^73+2866x^74+2704x^75+2213x^76+2036x^77+1668x^78+1228x^79+982x^80+484x^81+332x^82+192x^83+107x^84+44x^85+44x^86+4x^87+5x^88+2x^90

The gray image is a linear code over GF(2) with n=292, k=15 and d=128.
This code was found by Heurico 1.16 in 52.8 seconds.