The generator matrix

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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+70x^51+130x^52+86x^53+49x^54+38x^55+38x^56+34x^57+4x^58+20x^59+30x^60+8x^61+2x^62+1x^64+1x^70

The gray image is a code over GF(2) with n=216, k=9 and d=102.
This code was found by Heurico 1.13 in 0.032 seconds.