The generator matrix

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

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+63x^64+288x^65+602x^66+740x^67+1052x^68+990x^69+1193x^70+1250x^71+1598x^72+1184x^73+1322x^74+1308x^75+1301x^76+988x^77+874x^78+578x^79+395x^80+240x^81+226x^82+84x^83+65x^84+16x^85+5x^86+8x^87+3x^88+4x^89+2x^90+2x^92+2x^93

The gray image is a linear code over GF(2) with n=292, k=14 and d=128.
This code was found by Heurico 1.13 in 4.41 seconds.