The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^46+1064x^47+3338x^48+6548x^49+12564x^50+19628x^51+29578x^52+37616x^53+41022x^54+36584x^55+31270x^56+20340x^57+11972x^58+5936x^59+2729x^60+1192x^61+408x^62+112x^63+55x^64+8x^66+4x^67+2x^68+2x^70+3x^76

The gray image is a code over GF(2) with n=432, k=18 and d=184.
This code was found by Heurico 1.16 in 441 seconds.