The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1 X^2+X  1  1 X^2+X  1  1  1  0  1  0  1 X^2  1  1  1  X  1  1  1  0 X^2  1  1  1  0  1  1  1 X^2  1  1  1  1 X^2  1
 0  1  1  0 X^2+X+1  1  X X+1  1 X^2+X  1 X^2+1 X^2+X+1  1 X^2+X  1  1  0 X^2 X^2+1  1 X^2+X  1 X+1  1  0 X^2+X+1 X^2+1  1  0 X^2 X^2+X+1  1  1 X+1  0  X  1 X^2+X+1 X^2+X X+1 X^2 X^2 X^2+X X+1  X X^2 X+1
 0  0  X  0 X^2+X  0  0  X X^2  0 X^2  X  0 X^2+X  X X^2  X X^2+X X^2+X  0 X^2+X  X  X X^2 X^2+X X^2  X  X  X  X X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2+X X^2 X^2 X^2+X X^2+X  0  X  X X^2+X
 0  0  0  X  0  0  X  X X^2+X X^2  X  X  X X^2+X X^2+X  X X^2 X^2+X  0  0  X X^2 X^2  0 X^2 X^2  X X^2+X X^2 X^2+X  0  0  0  X  0 X^2+X  X X^2+X  X  0  X  X  0  X X^2 X^2  X X^2+X
 0  0  0  0 X^2  0  0  0  0  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0  0  0
 0  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0  0 X^2  0
 0  0  0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  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+72x^40+154x^41+201x^42+358x^43+483x^44+728x^45+891x^46+846x^47+900x^48+800x^49+801x^50+724x^51+444x^52+320x^53+188x^54+104x^55+74x^56+46x^57+29x^58+14x^59+9x^60+1x^62+2x^63+1x^64+1x^66

The gray image is a linear code over GF(2) with n=192, k=13 and d=80.
This code was found by Heurico 1.16 in 2.87 seconds.