The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  1  1  1  0  1  X  0  X  0  0  0  1  X  X  1  1  1  1  1  1  1  1  0  X  1  1  1  X  1  1  1  0  X  1  0  0  0
 0  1  0  0  0  0  0  0  0  1  1 X+1  1  X  1 X+1  1  X  1  X  1  1  0  1  1  X X+1  1 X+1 X+1  0  X  0  0  X  X X+1  0  1  0 X+1 X+1  0  1  X  1  X  1
 0  0  1  0  0  0  1  1  1  1  1  0  0  0  X  X  X  X  X  1 X+1 X+1  1 X+1  1  0  1  X  0 X+1  1 X+1  X  1  1  X  X  0  X  0  0 X+1  1  0  0  1  X X+1
 0  0  0  1  0  1  1  0  1  0  1  1  X X+1  1  0 X+1  1  X  X  X X+1  0 X+1  0  0  X X+1  1  1 X+1  0  0 X+1  1  1  1 X+1  1  0  X X+1  0 X+1 X+1  1  1 X+1
 0  0  0  0  1  1  0  1  1  0 X+1  1 X+1  0  X  0 X+1  1 X+1 X+1  X  1  X  0 X+1 X+1 X+1  X  1  0  1  X  X  1  0  X  0 X+1  X X+1  0 X+1 X+1 X+1  0  1  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  0  X  X  X  0  0  0  0  0  0  X  X  X  0  X  0  0  0  X  X  X  0  X  X  0  0  X
 0  0  0  0  0  0  X  0  0  0  X  X  0  X  0  0  X  0  0  0  X  0  X  X  X  0  X  X  0  X  0  X  0  0  0  X  X  0  X  0  0  X  X  0  0  0  X  X
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  X  X  0  X  0  X  0  0  0  0  X  0  0  X  X  X  0  X  0  X  0  0  X  X  0  X  X  0  X  0  0  X
 0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  0  X  X  0  0  0  X  X  X  0  X  0  X  X  0  X  0  X  X  X  X  0  0  0  0  0  0  0  X
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  X  0  X  0  X  X  0  X  X  0  X  X  X  0  X  X  X  X  X  X  0  X  0  X  0  0  X  0  0  0  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+290x^36+738x^38+1778x^40+2406x^42+3653x^44+4592x^46+5446x^48+4942x^50+4002x^52+2522x^54+1387x^56+602x^58+305x^60+68x^62+27x^64+2x^66+6x^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 1.16 in 90.1 seconds.