The generator matrix

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

generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+270x^45+933x^46+1334x^47+2521x^48+1954x^49+2858x^50+1842x^51+2181x^52+1130x^53+773x^54+306x^55+152x^56+70x^57+40x^58+6x^59+9x^60+4x^62

The gray image is a code over GF(2) with n=400, k=14 and d=180.
This code was found by Heurico 1.16 in 1.92 seconds.