The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+88x^34+110x^35+412x^36+512x^37+908x^38+1040x^39+1668x^40+1886x^41+2536x^42+3094x^43+3606x^44+4314x^45+4547x^46+5300x^47+4953x^48+5406x^49+4827x^50+4496x^51+3734x^52+3208x^53+2674x^54+1908x^55+1492x^56+926x^57+790x^58+394x^59+350x^60+126x^61+127x^62+40x^63+36x^64+6x^65+15x^66+2x^67+2x^68+2x^72

The gray image is a linear code over GF(2) with n=96, k=16 and d=34.
This code was found by Heurico 1.11 in 140 seconds.