The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 1 1 1 0 1 X 1 1 1 1 0 X X 1 1 X 0 1 X 1 0 X 0 X X 1 X 0 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X+1 X 1 1 X X+1 X+1 X X+1 1 X 1 1 0 0 1 0 1 X+1 X X X+1 1 X+1 X 1 0 0 1 1 X X 1
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 0 X+1 X+1 X 0 X X 1 0 1 X+1 X 1 1 1 X X+1 1 X 0 X+1 X X 1 X 1 X X X 0 X
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 X+1 X X+1 0 1 X+1 1 0 0 X X 0 X+1 1 0 0 X+1 1 1 X X+1 0 X 1 1 0 1 X X X 1 1
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 1 X X+1 0 0 X+1 X X 0 1 0 X+1 0 X+1 1 X+1 X 0 1 X+1 0 X+1 X X 1 1 1 X 1 0 1 0 1
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X X+1 0 1 0 X+1 1 X X 1 0 0 1 X 0 X X 0 1 0 1 1 0 1 X+1 0 0 1 X X+1 0 X X+1 1
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X X X 0 0 X X X 0 X 0 X X X X X 0 X X X 0 X 0 X X 0 0 X 0 0 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+93x^38+186x^39+255x^40+304x^41+357x^42+444x^43+511x^44+538x^45+521x^46+552x^47+601x^48+634x^49+578x^50+538x^51+496x^52+422x^53+361x^54+292x^55+207x^56+142x^57+65x^58+34x^59+41x^60+8x^61+8x^62+2x^63+1x^78

The gray image is a linear code over GF(2) with n=96, k=13 and d=38.
This code was found by Heurico 1.10 in 2.06 seconds.