The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+122x^41+207x^42+250x^43+349x^44+368x^45+436x^46+460x^47+519x^48+556x^49+547x^50+576x^51+561x^52+548x^53+479x^54+516x^55+500x^56+342x^57+261x^58+230x^59+169x^60+108x^61+52x^62+16x^63+12x^64+4x^65+1x^66+1x^68+1x^86

The gray image is a linear code over GF(2) with n=102, k=13 and d=41.
This code was found by Heurico 1.10 in 592 seconds.