The generator matrix

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

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+62x^43+87x^44+178x^45+375x^46+180x^47+71x^48+58x^49+9x^50+2x^51+1x^88

The gray image is a code over GF(2) with n=368, k=10 and d=172.
This code was found by Heurico 1.16 in 0.047 seconds.