The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+117x^18+64x^19+266x^20+192x^21+800x^22+192x^23+230x^24+64x^25+98x^26+14x^28+8x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=176, k=11 and d=72.
This code was found by Heurico 1.16 in 21.5 seconds.