The generator matrix

 1  0  1  1 X^2  1  1  1 X^2+X  1  1  X  1  1  0  1  1  X  1  1  1 X^2+X+2 X^2+X+2  1  1  1 X^2+2  1  1  1  1  1 X^2+2 X^2+X X^2+2  1  1  1  1  1  1 X^2  2  1  1  1  1
 0  1  1 X^2+X  1 X^2+X+1 X^2  3  1 X+2 X+1  1 X^2 X+1  1 X^2+X+3  2  1  0 X^2+1  2  1  1  2  2 X^2+3  1 X+2 X+2 X^2+X  X X^2+X+3  1  1  1 X+1  3 X^2+3  3  X X+2 X^2  1  1 X^2+X+1 X+2  0
 0  0  X  0 X+2  X X+2  2  0 X^2+X+2  2 X+2 X^2+X+2 X^2+X X^2+2 X^2+2 X^2 X^2+X+2 X^2+X X^2+X+2 X^2+2  X X^2+2 X+2  0 X^2 X^2+X+2  2 X^2+X+2 X^2 X^2 X^2+X  2  0 X+2 X^2  0 X^2+X  X X+2  X X^2 X^2+X+2 X^2  0  2  2
 0  0  0  2  0  2  2  2  2  0  0  2  2  2  0  0  0  2  0  0  2  0  2  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  2  2  0  0  2  0  2  2  2

generates a code of length 47 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+134x^43+412x^44+868x^45+467x^46+552x^47+472x^48+640x^49+231x^50+166x^51+66x^52+60x^53+12x^54+12x^55+1x^56+1x^62+1x^66

The gray image is a code over GF(2) with n=376, k=12 and d=172.
This code was found by Heurico 1.16 in 0.203 seconds.