The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^43+383x^44+920x^45+386x^46+564x^47+428x^48+756x^49+300x^50+144x^51+22x^52+16x^53+8x^54+20x^55+5x^56+4x^57+1x^60+2x^62

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.