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 X 2 1 1 1 1 X 1 1 1 2 1 1 1 X X 1 1 1 1 X 0 1 0 0 X 1 X
0 X 0 0 0 0 0 2 2 X X+2 X X X X+2 X 0 X+2 2 X 2 X 0 X 2 X+2 X+2 2 X+2 2 X+2 X X 0 2 X X 0 2 2 0 X+2 X 0 0 X X+2 X 2 X X 0 X 2
0 0 X 0 0 2 X+2 X X X X X X+2 0 0 0 2 2 X+2 X 2 0 0 X+2 2 2 0 0 0 X+2 X+2 X 0 X+2 X 2 X+2 2 X X X X X 2 X X+2 X 0 2 X X 0 X 2
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X 2 X 2 X+2 0 X+2 0 2 X 2 X 0 X X X 0 X X 2 2 X+2 2 0 X+2 X X+2 2 X 0 2 X+2 X X 2 X 2 2 X+2 2
0 0 0 0 X X 2 X+2 X X+2 2 2 X 2 X+2 X X 2 2 X+2 0 X+2 0 X+2 X+2 X+2 2 X 0 X 0 2 2 X 2 0 0 2 0 2 X X X+2 0 X+2 2 0 0 2 X X X 0 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+219x^48+28x^49+70x^50+208x^51+221x^52+268x^53+102x^54+288x^55+166x^56+212x^57+46x^58+16x^59+108x^60+4x^61+26x^62+46x^64+12x^66+6x^68+1x^84
The gray image is a code over GF(2) with n=216, k=11 and d=96.
This code was found by Heurico 1.16 in 6.47 seconds.