The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+288x^47+157x^48+276x^49+61x^50+128x^51+34x^52+68x^53+1x^54+8x^55+1x^62+1x^74

The gray image is a code over GF(2) with n=392, k=10 and d=188.
This code was found by Heurico 1.16 in 36.2 seconds.