The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+129x^36+80x^37+251x^38+250x^39+489x^40+530x^41+619x^42+802x^43+893x^44+1048x^45+1113x^46+1336x^47+1169x^48+1358x^49+1127x^50+1156x^51+931x^52+864x^53+735x^54+490x^55+379x^56+190x^57+193x^58+58x^59+95x^60+24x^61+43x^62+4x^63+10x^64+2x^65+13x^66+2x^70

The gray image is a linear code over GF(2) with n=96, k=14 and d=36.
This code was found by Heurico 1.16 in 44.4 seconds.