The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+144x^45+359x^46+942x^47+476x^48+402x^49+419x^50+858x^51+301x^52+110x^53+32x^54+16x^55+5x^56+16x^57+4x^58+8x^59+1x^62+1x^66+1x^68

The gray image is a code over GF(2) with n=392, k=12 and d=180.
This code was found by Heurico 1.16 in 0.218 seconds.