The generator matrix

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

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+170x^42+8x^43+210x^44+80x^45+272x^46+176x^47+300x^48+160x^49+250x^50+72x^51+161x^52+16x^53+84x^54+57x^56+24x^58+4x^60+2x^64+1x^76

The gray image is a linear code over GF(2) with n=192, k=11 and d=84.
This code was found by Heurico 1.16 in 52.9 seconds.