The generator matrix

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

generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+151x^48+640x^50+1099x^52+1374x^54+1771x^56+1954x^58+2198x^60+2212x^62+1872x^64+1402x^66+1008x^68+420x^70+180x^72+60x^74+38x^76+2x^78+1x^88+1x^100

The gray image is a linear code over GF(2) with n=120, k=14 and d=48.
This code was found by Heurico 1.16 in 65.4 seconds.