The generator matrix

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

generates a code of length 51 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+461x^48+588x^50+607x^52+304x^54+75x^56+4x^58+5x^60+2x^64+1x^80

The gray image is a code over GF(2) with n=408, k=11 and d=192.
This code was found by Heurico 1.16 in 113 seconds.