The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  X  2  1  X  1  1  X  0  1  0  2  X  X  1  1  X  1  X  1  1  1
 0  X  0  0  0  0  0  0  0  X X+2  X  2 X+2  2  X  X  X  0 X+2  X X+2  2  X  2  X  0  X  2  0 X+2  X  2  0  2 X+2  X  X  X X+2  X  2  2  X  X X+2  2 X+2  2  0  2  X  2 X+2
 0  0  X  0  0  0  X X+2  X  X  X  0  0 X+2  2  2  2  2  X X+2  X  0  X X+2  2 X+2  0  0 X+2  X  X  0  0  2  X X+2 X+2  2 X+2  2  X X+2  0  X  2 X+2 X+2  X X+2  X  0  X  2  X
 0  0  0  X  0  X  X  X  2  0  0  2  2 X+2  0  X  2 X+2  X X+2  X  X  2  2  X X+2  X  2  2 X+2  2  X X+2  X  2  2 X+2  X  2  X  0  2  X X+2 X+2 X+2  0  X  0 X+2  0  X  0  0
 0  0  0  0  X  X  2 X+2 X+2  0  X  X  0  0  X  X X+2  0  2  X  0  X  2  2 X+2 X+2  2  0  X X+2  X X+2  X  0  X  X X+2  2  X X+2 X+2  2  X  X  2  X  0  0 X+2  0 X+2  X X+2  X
 0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  2  2  0  0  0  2  0  2  0  0  2  2  2  0  0  2  0  2  0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  2  2  0  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+102x^46+322x^48+44x^49+390x^50+176x^51+491x^52+300x^53+524x^54+288x^55+522x^56+164x^57+336x^58+48x^59+190x^60+4x^61+102x^62+67x^64+18x^66+6x^68+1x^84

The gray image is a code over GF(2) with n=216, k=12 and d=92.
This code was found by Heurico 1.16 in 0.998 seconds.