The generator matrix
1 1 1 1 1 1 1 1 X X 1 X X X X 1 1 1 1 X 1 1
0 2X+2 0 2X+2 2X 2 2X 2 2X+2 2X+2 0 0 2X 2 2 2X 2X+2 2 0 2X 2X+2 2
0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 0 2X 2X
generates a code of length 22 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 21.
Homogenous weight enumerator: w(x)=1x^0+14x^21+103x^22+7x^24+2x^29+1x^30
The gray image is a code over GF(2) with n=176, k=7 and d=84.
This code was found by Heurico 1.16 in 3.81e-009 seconds.