The generator matrix

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

generates a code of length 46 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+258x^43+316x^44+380x^45+317x^46+274x^47+221x^48+184x^49+17x^50+38x^51+21x^52+12x^53+6x^55+1x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=368, k=11 and d=172.
This code was found by Heurico 1.16 in 30.6 seconds.