The generator matrix

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

generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+14x^48+94x^49+60x^50+52x^51+16x^52+14x^53+2x^54+1x^58+1x^60+1x^70

The gray image is a code over GF(2) with n=400, k=8 and d=192.
This code was found by Heurico 1.16 in 0.094 seconds.