The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  X  1  1  0  1  X  0  0  X  0  1  0  1  1  X  0  X  0  1  X  1  1  1  0  1  X  1  1  1  X  1  1  X  0  X  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  1 X+1  1  1  1  1  1  1 X+1 X+1 X+1  X  1  1  1  1  0  1  1  1  1  1  1  0
 0  0  1  0  0  0  0  0  0  0 X+1  1  1  X  1  1  1  1  1  1  X  1  1  X  0  X  X  1 X+1 X+1  0  0  0 X+1  0  X X+1  1  X  0  0  1 X+1  0 X+1  0  1  0
 0  0  0  1  0  0  0  1  1  1  X X+1  1  0 X+1  0  1 X+1 X+1  0  1  X  X  1  0 X+1  1  0  0 X+1 X+1  X X+1  1 X+1  1  0 X+1 X+1  X  1 X+1  0  X X+1  1  0  0
 0  0  0  0  1  0  1  1  0 X+1  X  X  0  0  1 X+1  1  1  0  1  0  X X+1  1  0  1  X X+1 X+1  1 X+1  0  0  X  1  X X+1  0  X  X  X  0 X+1  1  X  X  0  0
 0  0  0  0  0  1  1  0 X+1 X+1  0  0  X  1  1  X  0  1 X+1 X+1  1 X+1  X  0  1  X X+1  X  1  X  1  1  1  0  1  X  1  1  1  0  X  0  X  X  1  X  0  0
 0  0  0  0  0  0  X  0  X  X  X  0  X  0  0  0  X  X  0  X  0  X  X  0  X  0  X  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  X  X  0  0  0
 0  0  0  0  0  0  0  X  0  X  0  X  X  X  0  X  0  0  X  X  0  0  X  X  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  X  0  X  X  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+66x^36+94x^37+240x^38+332x^39+470x^40+558x^41+694x^42+758x^43+922x^44+1062x^45+1069x^46+1202x^47+1165x^48+1280x^49+1260x^50+1194x^51+952x^52+884x^53+605x^54+494x^55+426x^56+200x^57+196x^58+104x^59+76x^60+16x^61+29x^62+12x^63+18x^64+2x^65+2x^66+1x^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.