The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+34x^38+78x^39+115x^40+124x^41+229x^42+244x^43+247x^44+264x^45+289x^46+306x^47+278x^48+332x^49+267x^50+276x^51+250x^52+228x^53+149x^54+110x^55+99x^56+72x^57+47x^58+8x^59+31x^60+4x^61+7x^62+2x^63+3x^64+1x^66+1x^70

The gray image is a linear code over GF(2) with n=96, k=12 and d=38.
This code was found by Heurico 1.16 in 1.67 seconds.