The generator matrix

1 0 0 0 0 0 0 1 1 1 X 1 1 0 1 1 0 X X 1 X 0 0 1 1 0 1 1 1 0 1 1 X 1 0 0 1 0 X 0 1 X 1 X 1 X 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 0 0 X X X 0 X 1 1 1 1 X+1 1 X+1 1 1 1 1 1 1 1 1 1 0 X+1 X 0 1
0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 1 1 1 1 1 1 1 1 1 X 1 X X+1 1 0 1 X X 0 0 X X+1 X X+1 0 1 1 X 1 1 X+1
0 0 0 1 0 0 0 0 0 X X 1 1 1 1 X+1 1 X X X X+1 X+1 X+1 0 X+1 1 0 X+1 1 1 0 1 1 0 0 X X X+1 1 1 1 X+1 X+1 X+1 1 X+1 1 X
0 0 0 0 1 0 0 1 X 1 1 0 X+1 1 0 1 0 X 0 0 0 1 1 X+1 0 0 X X+1 1 X 1 X 0 X X+1 X 1 X+1 1 X 0 X+1 0 X 0 0 0 1
0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 X X+1 1 X X+1 X 1 0 X+1 X X X+1 1 0 1 0 1 1 X 0 0 0 X 0 0 1 1 X+1 X X X
0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 0 X X+1 1 X+1 X 1 1 0 X+1 0 X 1 X X 1 X+1 X+1 X 0 0 X 0 0 X+1 1 1 X+1 X X+1 X+1 X X+1 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+112x^37+216x^38+330x^39+453x^40+598x^41+713x^42+766x^43+948x^44+988x^45+1106x^46+1224x^47+1244x^48+1322x^49+1221x^50+1084x^51+985x^52+850x^53+674x^54+526x^55+406x^56+256x^57+158x^58+94x^59+55x^60+34x^61+7x^62+8x^63+4x^64+1x^86

The gray image is a linear code over GF(2) with n=96, k=14 and d=37.
This code was found by Heurico 1.10 in 78.5 seconds.