The generator matrix

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

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+118x^41+180x^42+546x^43+499x^44+790x^45+614x^46+1154x^47+580x^48+1074x^49+602x^50+838x^51+344x^52+418x^53+174x^54+134x^55+42x^56+32x^57+26x^58+16x^59+5x^60+4x^62+1x^64

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 33 seconds.