The generator matrix

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

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+116x^48+216x^50+528x^52+424x^54+568x^56+500x^58+499x^60+468x^62+404x^64+164x^66+146x^68+20x^70+30x^72+11x^76+1x^80

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 2.53 seconds.