The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+244x^46+408x^48+448x^50+391x^52+282x^54+174x^56+66x^58+16x^60+10x^62+1x^64+6x^66+1x^68

The gray image is a code over GF(2) with n=204, k=11 and d=92.
This code was found by Heurico 1.16 in 0.319 seconds.