The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  0  1  1  1  0  1  X  1  1  1  1  0  1  1  0  1  0  1  1  0  1  1  1  1  0  1  1  1  0  1  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  X X+1  1 X+1  1  0  0 X+1  1 X+1  1 X+1 X+1  0 X+1  1  0  0  1 X+1  1  1  X  1  X X+1  X  1  0 X+1 X+1  0  X  1  0  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  0  0  0  0  X  X  X  X  X  X  X  0  0  X  X  0  X  X  0  X  X  0  0  X  X  X  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  0  X  X  X  0  X  0  X  0  0  0  X  X  X  0  0  X  X  X  0  0  0  X  X  0  X  0  X  0  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  X  X  X  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  X  0  0  X  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  X  0  0  X  X  X  0  0  0  X  0  X  X  X  0  X  X  0  X  X  X  X  0  X  0  0  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  X  X  X  0  0  X  X  0  0  0  0  X  X  X  X  X  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  X  0  X  X  0  X  X  0  X  X  0  0  0  0  0  X  0  0  X  X  X  X  0  0  X  0  X  0  0  0  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  X  X  0  X  0  X  0  0  X  0  X  0  X  0  0  0  0  X  X  X  0  X  X  0  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  0  0  X  0  0  X  X  X  0  X  0  0  X  0  X  0  X  0  X  X  0  0  0  0  X  0  X  0  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+72x^36+36x^38+322x^40+246x^42+554x^44+480x^46+677x^48+500x^50+576x^52+236x^54+249x^56+38x^58+90x^60+14x^64+4x^68+1x^72

The gray image is a linear code over GF(2) with n=96, k=12 and d=36.
This code was found by Heurico 1.16 in 1.88 seconds.