The generator matrix

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

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+230x^36+872x^38+1654x^40+2462x^42+3720x^44+4592x^46+5276x^48+5054x^50+3958x^52+2504x^54+1407x^56+698x^58+240x^60+64x^62+21x^64+10x^66+4x^68+1x^72

The gray image is a linear code over GF(2) with n=96, k=15 and d=36.
This code was found by Heurico 1.11 in 37.6 seconds.