The generator matrix

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

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+40x^35+143x^36+260x^37+428x^38+592x^39+765x^40+1004x^41+1344x^42+1468x^43+1797x^44+2136x^45+2333x^46+2578x^47+2634x^48+2630x^49+2423x^50+2352x^51+1982x^52+1652x^53+1302x^54+926x^55+721x^56+440x^57+310x^58+204x^59+125x^60+64x^61+49x^62+30x^63+23x^64+6x^65+3x^66+1x^68+2x^71

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 87.1 seconds.