The generator matrix

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

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+279x^40+524x^41+1164x^42+1380x^43+2240x^44+2456x^45+3136x^46+3280x^47+3634x^48+3392x^49+3444x^50+2488x^51+2180x^52+1352x^53+972x^54+400x^55+293x^56+84x^57+48x^58+4x^59+12x^60+4x^62+1x^80

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 29.1 seconds.