The generator matrix

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

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+67x^50+186x^51+122x^52+194x^53+64x^54+120x^55+73x^56+68x^57+25x^58+42x^59+6x^60+26x^61+6x^62+4x^63+4x^64+14x^66+2x^68

The gray image is a code over GF(2) with n=216, k=10 and d=100.
This code was found by Heurico 1.11 in 0.0713 seconds.