The generator matrix

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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+121x^54+168x^56+104x^58+80x^60+30x^62+7x^64+1x^102

The gray image is a code over GF(2) with n=228, k=9 and d=108.
This code was found by Heurico 1.16 in 0.253 seconds.