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

generates a code of length 54 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+74x^48+88x^50+16x^51+218x^52+64x^53+166x^54+96x^55+98x^56+64x^57+30x^58+16x^59+46x^60+34x^62+10x^64+2x^66+1x^96

The gray image is a code over GF(2) with n=216, k=10 and d=96.
This code was found by Heurico 1.16 in 0.148 seconds.