The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  X  1  0  1  1  X  1  1  1  1  X  X  1  0  1  0  1  1  1  X  X  1  1  0  1  1  1  0  X  1  X  1
 0  1  0  0  0  1  1  1  0  X X+1 X+1  1  1  0  X  0 X+1  1  0  1  0  X  X  0  1  1  1  1  1  1  1  1  0 X+1  0  1  X  1  1  0  X  1  X  1  0  0  1
 0  0  1  0  1  1  0  1  0  1  1  X  0  1  1  0  1  1 X+1 X+1  1  1  X X+1  1  0  0  0  1 X+1  X  0  0  X X+1  1  0  1  X X+1  X  0  X  1  1  X  0  0
 0  0  0  1  1  0  1  1  1  0 X+1  X  1  X  1  1  X  1 X+1  0  0  0 X+1 X+1  X X+1  X X+1 X+1  X  X  X  1  X X+1 X+1  0  1  0 X+1  1  0  0  X X+1 X+1  1 X+1
 0  0  0  0  X  0  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  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  X  0  X  X  X  X  X  X  0  0  0  X  0  X  0  X  0  0  X  0  X  X  0  0  X  X  X  X  0  0  X  X  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  0  0  0  X  X  X  X  0  0  X  X  X  0  X  X  0  0  X  X  0  X  X  X  0  0  0  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  0  X  0  X  X  X  X  X  0  0  0  X  0  X  X  X  0  0  0  0  0  X  0  X  X  0  X  0  0  0  0  X
 0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  0  X  0  0  X  0  X  0  0  X  X  X  X  0  0  0  X  0  X  0  0  0  X  X  0  0  0  X  0  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+169x^38+493x^40+802x^42+849x^44+1194x^46+1106x^48+1261x^50+982x^52+748x^54+365x^56+160x^58+41x^60+16x^62+3x^64+1x^66+1x^86

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 24.5 seconds.