The generator matrix

1 1 0 X 1 1 X 1 X X 1 0 1 0 1 1 1 0 X 1 0 0 0 1 1 X 1 X 0 1 0 X 0 X 1 1 1 1 X X 1 X X 1 1 1 1 X 1 1 0 1 1 1 X X 0 1 1
1 0 1 1 0 1 X 1 0 0 1 1 X 1 X 1 X 1 1 X+1 X 0 1 X+1 1 0 0 1 0 X X 1 1 0 X+1 0 X X+1 1 X X+1 X 1 0 0 X 1 1 X+1 X 0 0 0 X 0 1 0 1 1
0 0 X X+1 1 X+1 1 1 X 1 X X+1 X 0 1 1 1 0 0 X X 1 X+1 0 X 1 X X X 1 X X X+1 0 1 X 1 X+1 X+1 1 0 1 1 1 X+1 X+1 X+1 X+1 1 X+1 X X X X X X 1 0 X
0 0 0 X 0 X 0 1 1 X+1 X+1 1 1 X+1 1 X+1 0 X 1 0 1 X X X+1 1 1 0 0 1 1 0 X X 1 1 1 0 0 X+1 X+1 1 X+1 X 0 0 X X+1 X 0 1 X X X+1 X X 1 X 0 X
0 0 0 0 X X X 0 X X 0 X X 0 X X X X X X X 0 X 0 1 X+1 X+1 X+1 X+1 1 1 X+1 1 X+1 1 1 1 X+1 1 X+1 X+1 0 1 1 1 X X+1 X X+1 X+1 1 X X+1 X 1 0 X+1 0 0
X 0 X X 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 X 0 0 0 X 0 X X 0 0 X X X X X 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 X 0 0 0 0 0

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+68x^51+126x^52+124x^53+135x^54+154x^55+159x^56+156x^57+146x^58+140x^59+115x^60+106x^61+115x^62+72x^63+60x^64+78x^65+79x^66+52x^67+43x^68+42x^69+32x^70+22x^71+8x^72+6x^73+3x^74+4x^75+2x^78

The gray image is a linear code over GF(2) with n=118, k=11 and d=51.
This code was found by an older version of Heurico in 0 seconds.