The generator matrix
1 1 1 1 1 1 1 1 X X 1 X X 1 X X 1 X X 1 1 1 1
0 2X+2 0 2X+2 2X 2 2X 2 2X+2 2X+2 0 0 2X 2X 2 2 2X+2 0 2X 2X+2 0 2 2X
0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 2X 2X 2X
generates a code of length 23 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 22.
Homogenous weight enumerator: w(x)=1x^0+7x^22+110x^23+7x^24+1x^30+2x^31
The gray image is a code over GF(2) with n=184, k=7 and d=88.
This code was found by Heurico 1.16 in 0.015 seconds.