The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X
 0  X  0 3X+2  2 X+2 2X+2  X X+2  0 2X X+2 2X+2 2X+2 3X  X 2X 2X 2X  2 X+2 3X+2
 0  0 2X+2  2  2 2X 2X  2  0 2X  2 2X+2 2X+2  0 2X+2 2X 2X  0 2X+2 2X  0  2

generates a code of length 22 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+71x^20+64x^21+240x^22+64x^23+70x^24+1x^28+1x^40

The gray image is a code over GF(2) with n=176, k=9 and d=80.
This code was found by Heurico 1.16 in -1.01e-007 seconds.