The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  1  1  0  X  0  X  1  1  1  X  X  X  X  1  X  0  X  1  1  1  X  1  1  0  1  0  1  X  0  1  1  1  0  0  X  1  1  1  1  0  1  0  X
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  X  1  1  1  1  1  1  X  1  X X+1  1  1  1  X  0  0  1  X  1  1  X  X  0 X+1 X+1  1  0  X  X  0  1 X+1  X  1  1  1  0  1  0  1  X  1  0  0  0
 0  0  1  0  0  0  0  0  0  0  1  1  1 X+1  1  X X+1 X+1  0  1  1  1  X X+1  X  X  0 X+1  1  1  X  0  0  X  X X+1  0  1  0  1  1  1  1  X  X  0  1  1  1  X  1  1 X+1 X+1  1  1  1  X  X  1
 0  0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1  0  X  0 X+1 X+1  1  X X+1  0  X X+1  1  0  X  X X+1 X+1  0  X  0  0 X+1  X  1 X+1  X  1  1  0  X  0  0  0  X  1  1 X+1 X+1  1  0  0  1  0  1  0
 0  0  0  0  1  0  1  1  0 X+1  X  0  X X+1  1  X X+1  0  X  1  X  1  0 X+1 X+1  1 X+1 X+1  X X+1  1  X  1 X+1  0  X  0  0  0 X+1  0  X X+1  X  1  0  X  X  0  1  X  0  X  1  1  0 X+1 X+1  0  0
 0  0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X X+1  1  0  0 X+1  X  1 X+1  0  0  1  0  X  0  1  0  0  1  0  X  0  X X+1  1 X+1  X  1 X+1 X+1  X  0  1 X+1 X+1 X+1  1 X+1  0 X+1  0  X  1  1  1  1
 0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  X  0  X  X  0  0  X  0  0  0  X  0  X  0  X  X  X  X  0  0  0  X  0  0  0  X  X  0  X  0  X  0  0  0  X  X  X  X  0  X  0
 0  0  0  0  0  0  0  X  0  X  0  X  X  0  0  0  0  X  X  X  0  X  X  0  0  X  X  X  X  0  0  0  X  0  0  X  0  X  X  X  0  0  X  X  X  0  X  X  0  0  0  0  0  X  0  0  0  0  0  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+168x^48+620x^50+1048x^52+1406x^54+1791x^56+2086x^58+2129x^60+2038x^62+1953x^64+1496x^66+874x^68+474x^70+214x^72+70x^74+13x^76+2x^78+1x^104

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 65.2 seconds.