The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+54x^48+92x^49+134x^50+194x^51+216x^52+290x^53+246x^54+246x^55+263x^56+224x^57+287x^58+246x^59+243x^60+248x^61+207x^62+208x^63+162x^64+140x^65+131x^66+110x^67+73x^68+30x^69+15x^70+18x^71+12x^72+4x^74+2x^75

The gray image is a linear code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.16 in 1.91 seconds.