The generator matrix

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

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+210x^45+485x^46+520x^47+592x^48+576x^49+706x^50+374x^51+320x^52+180x^53+52x^54+44x^55+13x^56+8x^57+3x^58+6x^59+2x^60+2x^61+1x^62+1x^66

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 81.7 seconds.