The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+58x^48+94x^49+182x^50+312x^51+411x^52+492x^53+644x^54+684x^55+780x^56+914x^57+1000x^58+1064x^59+996x^60+1040x^61+998x^62+1102x^63+1003x^64+968x^65+954x^66+682x^67+555x^68+466x^69+367x^70+218x^71+148x^72+112x^73+72x^74+30x^75+14x^76+10x^77+6x^78+4x^79+2x^80+1x^102

The gray image is a linear code over GF(2) with n=122, k=14 and d=48.
This code was found by an older version of Heurico in 0 seconds.