The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+57x^62+112x^63+179x^64+336x^65+401x^66+776x^67+623x^68+1294x^69+814x^70+1600x^71+1014x^72+1946x^73+1062x^74+1808x^75+844x^76+1208x^77+548x^78+696x^79+304x^80+292x^81+141x^82+120x^83+87x^84+38x^85+42x^86+8x^87+14x^88+2x^89+4x^90+6x^92+4x^93+3x^94

The gray image is a linear code over GF(2) with n=292, k=14 and d=124.
This code was found by Heurico 1.16 in 17.3 seconds.