The generator matrix

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

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+126x^45+178x^46+340x^47+364x^48+760x^49+786x^50+646x^51+278x^52+260x^53+122x^54+124x^55+43x^56+36x^57+18x^58+10x^59+1x^60+2x^61+1x^84

The gray image is a code over GF(2) with n=400, k=12 and d=180.
This code was found by Heurico 1.16 in 0.312 seconds.