The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+153x^42+152x^43+439x^44+256x^45+842x^46+464x^47+857x^48+256x^49+374x^50+152x^51+94x^52+26x^54+9x^56+13x^58+7x^60+1x^72

The gray image is a code over GF(2) with n=376, k=12 and d=168.
This code was found by Heurico 1.16 in 0.328 seconds.