The generator matrix

 1  0  0  0  0  1  1  1  0  1 X^2  1 X^2  1  0  1  1 X^2+X X^2  1  0 X^2+X  1  1  1  X  1  1  1  1  1 X^2+X X^2+X  1  X X^2  1  1 X^2+X X^2  X  0  1  1  X  1  0  1
 0  1  0  0  0  0  0 X^2 X^2  1  1  1  1  1  1  1 X^2+X+1  1  0 X^2 X^2+X X^2+X X+1  X X^2+X+1  1 X^2+X+1 X^2+1 X^2+X  0  X X^2+X  1  0  1  X X+1 X^2+1  1  1  1  X  X X^2+X  X  X X^2 X^2+X
 0  0  1  0  0 X^2  1 X^2+1  1  0  1 X+1 X^2+X+1 X^2+X+1 X^2  X X^2  X  1  1  1  0 X^2+1 X+1 X+1 X^2+X+1  X X^2+X X^2 X^2+1  0  X  0  X X^2+1  1  X X^2+1 X^2+X+1 X^2 X^2 X^2+X  1 X^2+1 X^2  0 X^2+X X^2
 0  0  0  1  0 X^2+1  1  0  1 X^2 X^2+1 X+1 X^2  X X^2+X+1 X^2+1 X^2+X+1 X^2+X+1  X X+1 X^2+1  1 X+1 X^2+X X^2  0 X^2+1  X X^2+X+1  1 X+1  1 X^2+1 X^2 X^2 X+1  X X^2+X+1 X^2+1  1 X^2+X+1  1 X+1  0 X^2  X  1 X^2+X
 0  0  0  0  1  1 X^2  1  1 X^2+1 X^2  1 X+1  X X^2+1  0 X^2+1  0 X+1 X+1  X  1  X  0  1 X^2 X^2+X X^2+X X+1 X^2+X X^2 X^2+1  0 X+1 X^2+1  X X^2+X+1  0  X  X X^2+1  0 X^2+X+1  1  1 X^2+1 X+1 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+180x^40+684x^41+918x^42+1796x^43+1777x^44+2990x^45+2713x^46+3652x^47+3064x^48+3944x^49+2957x^50+3114x^51+1697x^52+1516x^53+775x^54+578x^55+191x^56+140x^57+57x^58+10x^59+2x^60+6x^61+4x^62+2x^63

The gray image is a linear code over GF(2) with n=192, k=15 and d=80.
This code was found by Heurico 1.13 in 9.28 seconds.