The generator matrix

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

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+68x^41+286x^42+446x^43+566x^44+722x^45+808x^46+868x^47+896x^48+842x^49+702x^50+654x^51+506x^52+328x^53+241x^54+122x^55+73x^56+38x^57+10x^58+4x^59+6x^60+2x^61+1x^62+2x^63

The gray image is a linear code over GF(2) with n=192, k=13 and d=82.
This code was found by Heurico 1.16 in 2.36 seconds.