The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+30x^49+120x^50+258x^51+284x^52+396x^53+591x^54+638x^55+741x^56+790x^57+856x^58+914x^59+1002x^60+1010x^61+992x^62+1074x^63+1065x^64+1024x^65+912x^66+860x^67+672x^68+542x^69+479x^70+400x^71+297x^72+148x^73+126x^74+72x^75+34x^76+28x^77+18x^78+8x^79+1x^82+1x^98

The gray image is a linear code over GF(2) with n=124, k=14 and d=49.
This code was found by an older version of Heurico in 0 seconds.