The generator matrix

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

generates a code of length 47 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+528x^44+744x^45+708x^46+504x^47+704x^48+272x^49+300x^50+152x^51+90x^52+56x^53+24x^54+13x^56

The gray image is a code over GF(2) with n=376, k=12 and d=176.
This code was found by Heurico 1.16 in 1.95 seconds.