The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 0 1 1 1 1 X 1 X 1 X 1 1 X 0 X X X 1 1 0 1 X 1 X 1 0 1 0 X 1 X X X 0 0 X X 1 1 0 1 X 1 1 1
0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 X+1 1 X+1 1 X+1 X X 1 X+1 1 1 1 X 1 1 0 X 1 X 0 X 1 1 1 X+1 1 X X+1 0 X X 0 1 1 0 X+1 0 X X+1 0 0 X 0
0 0 1 0 0 0 0 0 X X 1 1 1 X 0 0 X+1 X+1 X+1 1 1 1 1 X X+1 X 1 1 1 X 1 0 0 X+1 0 0 0 X 0 1 X 1 1 1 0 1 1 X X X X X X 0 1 0 X 0
0 0 0 1 0 0 1 X 1 1 0 X+1 1 1 X X+1 X+1 0 0 1 1 X X X 0 1 X+1 0 1 X 1 X+1 X X 1 0 X 0 1 X X+1 X+1 X+1 X 1 0 1 X 0 1 0 X+1 1 X 0 X+1 1 0
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 0 X 1 1 0 X+1 X 1 X+1 X X+1 X+1 X 1 0 X+1 1 X X+1 X+1 0 1 X 0 1 X X X X+1 1 X+1 0 X 0 0 X 0 X X+1 X+1 1 0
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X X+1 1 1 X 0 0 1 X 1 X X+1 1 1 1 0 1 X+1 X+1 X 0 0 X 1 1 X 1 X+1 0 0 X+1 1 0 X 1 X+1 X 0 1 X 1 0 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+58x^48+114x^49+136x^50+186x^51+227x^52+234x^53+278x^54+262x^55+249x^56+256x^57+228x^58+268x^59+250x^60+234x^61+198x^62+184x^63+191x^64+140x^65+107x^66+114x^67+69x^68+44x^69+43x^70+10x^71+9x^72+2x^73+1x^74+2x^76+1x^78

The gray image is a linear code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.10 in 0.688 seconds.