The generator matrix

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

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+73x^40+272x^41+586x^42+844x^43+1068x^44+1362x^45+1556x^46+1624x^47+1746x^48+1704x^49+1489x^50+1330x^51+972x^52+724x^53+538x^54+244x^55+106x^56+80x^57+51x^58+6x^59+2x^60+2x^61+4x^62

The gray image is a linear code over GF(2) with n=192, k=14 and d=80.
This code was found by Heurico 1.13 in 2.59 seconds.