The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1  X  1 X^2+X  1  1  1  X  1  1  X X^2  1 X^2  1  1  0  X  0  1  1  1 X^2+X  1  1 X^2  1  1  0  1 X^2  1  1  1  1  1 X^2+X  1
 0  1  0  0  1 X^2+X+1  1 X^2  0 X^2 X^2+X+1  1 X^2+X+1  1  0 X+1  X  1  0  1  0  1  X  1  X X^2+1  X  1  1 X^2+X+1 X+1 X^2  1  0  1  X X+1  X  1  X  1 X+1  1  0  1  0  X X+1
 0  0  1  1 X+1  0  1 X+1  1  X X+1  X  X  1 X^2+X+1 X+1  0 X^2 X^2+X  X  1 X^2+X+1 X^2+X+1 X^2+X X^2+1 X^2  1  0 X^2  X  0  0 X^2+1  0 X+1  1  1 X+1  1 X^2+1 X^2+X+1 X^2+X+1  0 X^2+X X^2+X+1  X  1 X^2+X+1
 0  0  0  X  X X^2+X X^2 X^2+X  0  0  X X^2  0 X^2+X X^2 X^2  X  X X^2+X X^2 X^2+X  0  0  X  X X^2+X  X X^2  X X^2  0  0  0  X  0 X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X  0  0  X  X  X  X
 0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  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 X^2 X^2  0 X^2  0 X^2 X^2
 0  0  0  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2  0  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 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+82x^41+257x^42+516x^43+475x^44+818x^45+688x^46+928x^47+797x^48+946x^49+682x^50+726x^51+406x^52+434x^53+210x^54+118x^55+44x^56+20x^57+17x^58+14x^59+3x^60+4x^61+2x^62+2x^63+2x^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 2.4 seconds.