The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+110x^37+217x^38+330x^39+507x^40+528x^41+648x^42+810x^43+956x^44+1060x^45+1084x^46+1268x^47+1209x^48+1258x^49+1261x^50+1090x^51+1016x^52+800x^53+711x^54+496x^55+359x^56+302x^57+160x^58+92x^59+43x^60+38x^61+12x^62+10x^63+4x^64+3x^66+1x^76

The gray image is a linear code over GF(2) with n=96, k=14 and d=37.
This code was found by Heurico 1.16 in 87.6 seconds.