The generator matrix

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

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+172x^48+614x^50+1041x^52+1458x^54+1755x^56+2036x^58+2194x^60+2052x^62+1850x^64+1478x^66+973x^68+506x^70+197x^72+48x^74+8x^76+1x^112

The gray image is a linear code over GF(2) with n=120, k=14 and d=48.
This code was found by Heurico 1.10 in 10.4 seconds.