The generator matrix

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

generates a code of length 51 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+164x^47+509x^48+582x^49+687x^50+572x^51+498x^52+376x^53+349x^54+172x^55+111x^56+30x^57+18x^58+20x^59+4x^61+1x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=408, k=12 and d=188.
This code was found by Heurico 1.16 in 0.234 seconds.