The generator matrix

 1  1  1  1  1  1  1  1  X  X  X  1  1  1  1 2X+2 2X+2 2X+2  X  1  1  1
 0 2X  0 2X  0  0 2X 2X  0 2X 2X  0  0 2X 2X  0 2X 2X  0  0  0 2X
 0  0 2X 2X  0 2X 2X  0 2X 2X  0  0 2X 2X  0 2X 2X  0  0  0 2X 2X

generates a code of length 22 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+12x^21+35x^22+8x^23+3x^24+4x^25+1x^30

The gray image is a code over GF(2) with n=176, k=6 and d=84.
This code was found by Heurico 1.16 in -3.24e-008 seconds.