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

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+18x^44+34x^45+36x^46+100x^47+151x^48+88x^49+30x^50+28x^51+14x^52+6x^53+5x^54+1x^94

The gray image is a linear code over GF(2) with n=192, k=9 and d=88.
This code was found by Heurico 1.16 in 0.0501 seconds.