The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  1  1  1  0  1  0  X  X  1  1  0  0  1  X  X  1  0  1  1  1  1  X  X  1  1  1  X  1  1  X  1  X  0  X
 0  1  0  1  0  1  1  0  0  1  1  1  1  X X+1  1  0  1  X  0  1  1  1  X  0  1  1  1  0  0  1  1  0  0  0  1  0  1  1 X+1  1  1  X  1  0  1  1  0
 0  0  1  1  1  0  1  0  1  1  0  X X+1  1  0 X+1  0  0  1  1  1 X+1  1 X+1  1  1  0  X  1  X  0  1  X  1  X  0  1  X  1  1  1  0  0  0  X  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  0  X  X  X  X  0  0  0  X  X  X  0  0  X  0  0  X  0  X  0  X  0  0  X  0  0  X  0  0  0  0  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  X  X  0  0  X  0  0  X  X  0  0  X  X  0  X  X  X  X  0  X  X  X  X
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  0  0  0  X  X  X  X  X  0  X  0  X  X  0  0  X  X  0  X  X  0  0  X  X  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  0  0  X  X  0  X  X  0  0  0  X  0  X  0  0  0  X  0  X  X
 0  0  0  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  0  X  X  X  X  X  X  X  X  X  X  X  X  0  X  0  X  X  X  X
 0  0  0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  0  X  0  0  0  X  0  X  0  X  X  0  X  0  0  X  0  X  X  0  X  0  X  X  X  0  0  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  X  0  X  0  X  X  X  X  0  0  X  0  X  0  X  X  X  0  X  X  0  0  X  X  0  X  X  0  0  X  0  X  X  X  0  X
 0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  0  X  X  0  0  X  0  X  X  0  X  X  X  0  0  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+208x^36+254x^38+947x^40+1136x^42+2072x^44+2146x^46+2725x^48+2304x^50+2168x^52+1074x^54+880x^56+240x^58+192x^60+14x^62+22x^64+1x^88

The gray image is a linear code over GF(2) with n=96, k=14 and d=36.
This code was found by Heurico 1.16 in 24.4 seconds.