The generator matrix

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

generates a code of length 49 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+336x^45+874x^46+1280x^47+1263x^48+1390x^49+982x^50+790x^51+514x^52+354x^53+250x^54+102x^55+13x^56+32x^57+6x^58+4x^59+1x^64

The gray image is a code over GF(2) with n=392, k=13 and d=180.
This code was found by Heurico 1.16 in 0.484 seconds.