The generator matrix

 1  0  0  0  1  1  1  1  1  1  1 X^2  0  0  0 X^2+X  1 X^2+X  1  1  X  X X^2+X  1  X  1  1  1  X  1  1  X  0  1  1  1  X  X X^2+X  1  1  1  1  1 X^2 X^2+X  1 X^2+X
 0  1  0  0  0  0  1 X^2+X+1  1  1 X^2+X  1  1 X^2  1  1 X^2+X+1 X^2+X X+1 X^2  1  0  X X^2+X+1  1 X^2+X X^2+X X^2+1  1  X X^2  1  X X^2+X X+1 X^2+X+1  X X^2+X  1 X^2+1  0 X+1 X^2+1 X^2  1  1  1 X^2+X
 0  0  1  0  0  1  0  1 X^2+1 X^2  1 X^2+X+1 X+1  1  0 X+1 X^2+X+1  1 X^2+X+1 X^2+X+1  0  1  X X^2  1 X^2+X X+1  X X^2  X  1 X^2  1 X+1 X^2+X+1  X X^2  1  X X+1 X^2+X+1  X X^2 X+1  X X^2+1 X^2+X  1
 0  0  0  1  1 X+1 X^2+X+1 X^2+1 X^2  X X^2+X X^2+1  0 X+1  1 X^2  0 X^2+X+1 X+1 X+1 X^2 X^2+X  1  1  1 X^2+1 X^2 X^2+X X^2+1 X^2  0 X+1  0 X^2+1  X X^2+X+1  1  X  1 X+1 X^2+X+1 X^2+1 X+1 X^2+1 X^2 X^2+1  0 X^2+1
 0  0  0  0  X  X  X  X  0  0  0 X^2+X X^2 X^2+X X^2+X X^2 X^2  X  X  X  0 X^2 X^2+X X^2+X X^2+X  X X^2+X X^2+X X^2  X X^2+X X^2 X^2+X  0 X^2+X  0  0  X X^2  0 X^2  0 X^2 X^2+X  X X^2 X^2 X^2+X
 0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0  0  0  0  0 X^2  0  0 X^2  0  0

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+336x^40+440x^41+1125x^42+1436x^43+2136x^44+2524x^45+3166x^46+3380x^47+3799x^48+3160x^49+3357x^50+2584x^51+2174x^52+1356x^53+927x^54+404x^55+274x^56+72x^57+92x^58+4x^59+14x^60+3x^62+2x^64+2x^66

The gray image is a linear code over GF(2) with n=192, k=15 and d=80.
This code was found by Heurico 1.16 in 28.8 seconds.