The generator matrix

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

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+93x^36+88x^37+222x^38+300x^39+483x^40+576x^41+652x^42+796x^43+862x^44+1062x^45+1132x^46+1280x^47+1217x^48+1224x^49+1207x^50+1112x^51+986x^52+860x^53+639x^54+524x^55+361x^56+264x^57+198x^58+76x^59+90x^60+22x^61+38x^62+8x^63+2x^64+7x^66+1x^68+1x^70

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 44.3 seconds.