The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X
0 2X 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0
0 0 2X 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0
0 0 0 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 0 2X 2X 0 0 0
0 0 0 0 2X 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 0
generates a code of length 22 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 20.
Homogenous weight enumerator: w(x)=1x^0+30x^20+192x^22+30x^24+2x^28+1x^32
The gray image is a code over GF(2) with n=176, k=8 and d=80.
This code was found by Heurico 1.16 in 1.05e-007 seconds.