The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+28x^35+134x^36+282x^37+393x^38+604x^39+805x^40+1020x^41+1240x^42+1550x^43+1874x^44+2124x^45+2375x^46+2452x^47+2621x^48+2616x^49+2505x^50+2296x^51+1943x^52+1572x^53+1304x^54+1050x^55+687x^56+510x^57+314x^58+196x^59+120x^60+62x^61+51x^62+14x^63+6x^64+6x^65+5x^66+2x^67+1x^68+5x^70

The gray image is a linear code over GF(2) with n=96, k=15 and d=35.
This code was found by Heurico 1.16 in 94.8 seconds.