The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+564x^47+690x^48+798x^49+484x^50+624x^51+263x^52+322x^53+137x^54+104x^55+54x^56+44x^57+1x^58+8x^59+2x^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 38.9 seconds.