The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+154x^38+533x^40+728x^42+949x^44+1124x^46+1206x^48+1151x^50+978x^52+745x^54+390x^56+189x^58+36x^60+5x^62+2x^64+1x^84

The gray image is a linear code over GF(2) with n=96, k=13 and d=38.
This code was found by Heurico 1.16 in 6.38 seconds.