The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+36x^38+44x^39+156x^40+188x^41+198x^42+260x^43+238x^44+250x^45+257x^46+308x^47+277x^48+292x^49+300x^50+244x^51+226x^52+224x^53+164x^54+144x^55+108x^56+64x^57+60x^58+24x^59+16x^60+6x^61+7x^62+2x^64+2x^66

The gray image is a linear code over GF(2) with n=96, k=12 and d=38.
This code was found by Heurico 1.16 in 1.5 seconds.