The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+227x^50+174x^52+284x^54+125x^56+166x^58+18x^60+20x^62+7x^66+1x^72+1x^80

The gray image is a code over GF(2) with n=216, k=10 and d=100.
This code was found by Heurico 1.16 in 3.07 seconds.