The generator matrix

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

generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+576x^47+730x^48+700x^49+500x^50+636x^51+315x^52+288x^53+113x^54+128x^55+65x^56+36x^57+2x^58+4x^59+1x^60+1x^62

The gray image is a code over GF(2) with n=400, k=12 and d=188.
This code was found by Heurico 1.16 in 675 seconds.