The generator matrix
1 1 1 1 1 1 1 1 X X X 1 1 1 1 X X^2 X^2 X^2 X X X^2 X
0 2 0 2 0 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0
0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0
generates a code of length 23 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 22.
Homogenous weight enumerator: w(x)=1x^0+6x^22+44x^23+7x^24+2x^26+4x^27
The gray image is a code over GF(2) with n=184, k=6 and d=88.
This code was found by Heurico 1.16 in 0.016 seconds.