The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+170x^46+260x^47+755x^48+660x^49+1216x^50+1132x^51+1553x^52+1556x^53+1898x^54+1508x^55+1687x^56+1148x^57+1042x^58+644x^59+557x^60+220x^61+222x^62+40x^63+77x^64+26x^66+10x^68+2x^70

The gray image is a code over GF(2) with n=216, k=14 and d=92.
This code was found by Heurico 1.16 in 9.72 seconds.