The generator matrix

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

generates a code of length 49 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+526x^46+720x^47+796x^48+560x^49+518x^50+328x^51+274x^52+160x^53+132x^54+24x^55+49x^56+7x^58+1x^66

The gray image is a code over GF(2) with n=392, k=12 and d=184.
This code was found by Heurico 1.16 in 0.141 seconds.