The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+51x^38+6x^39+101x^40+72x^41+158x^42+158x^43+217x^44+256x^45+235x^46+348x^47+283x^48+368x^49+279x^50+348x^51+233x^52+256x^53+198x^54+158x^55+131x^56+72x^57+68x^58+6x^59+43x^60+27x^62+12x^64+7x^66+3x^68+1x^70

The gray image is a linear code over GF(2) with n=98, k=12 and d=38.
This code was found by Heurico 1.16 in 2.01 seconds.