The generator matrix

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

generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+70x^49+166x^50+202x^51+301x^52+368x^53+392x^54+412x^55+432x^56+480x^57+477x^58+558x^59+544x^60+532x^61+500x^62+452x^63+475x^64+402x^65+376x^66+314x^67+249x^68+172x^69+123x^70+96x^71+44x^72+24x^73+13x^74+14x^75+2x^76+1x^102

The gray image is a linear code over GF(2) with n=120, k=13 and d=49.
This code was found by Heurico 1.10 in 2.77 seconds.