The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2  1  1  X  X  1  1  2  1  1  X  1  1  1  1  1  1  1  1  1  1  0  0  X X+2  0  0  2  X X+2  0  2 X+2  0  X  2 X+2 X+2  0  1  2 X+2  1
 0  1  1 X+2 X+1  1  3  2  1  2  1  1  X X+3  1  1  2 X+2  1 X+3 X+2  1  1  1 X+3 X+3 X+1  3 X+1  3 X+1  3  1  1  1  1  X  1  1  1  1  0  1  1  1  1  1  1  1  1 X+1  1  1 X+1
 0  0  X  0  2  0  2  X  X X+2 X+2 X+2  X  X  0  X  0 X+2  0  2  0 X+2  2 X+2 X+2  X  0  2 X+2  X  2  0  0 X+2  X  2  2  X  2 X+2  0  X X+2  X  2  0  X  2 X+2  0 X+2  2 X+2  0
 0  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  2  2  2  0  2  0  0  2  0  0  2  0  2  0  2  2  0  2  0  2  2  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  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+96x^51+54x^52+128x^53+16x^54+72x^55+54x^56+60x^57+24x^59+1x^60+4x^65+1x^68+1x^88

The gray image is a code over GF(2) with n=216, k=9 and d=102.
This code was found by Heurico 1.16 in 0.0863 seconds.