The generator matrix

 1  1  1  1  1  1  1  1  X  0  1  1  1  1  1  1  X  1  1  0  X  2
 0  X 2X+2 X+2  0 X+2 2X+2 3X X+2  X  0 2X+2 2X 3X X+2 X+2 3X  0 3X  X  2 2X
 0  0 2X  0  0  0 2X  0  0  0 2X 2X 2X  0  0 2X  0 2X 2X  0 2X 2X
 0  0  0 2X  0  0 2X  0 2X 2X 2X  0 2X  0 2X 2X 2X 2X 2X 2X 2X  0
 0  0  0  0 2X  0 2X 2X 2X  0  0 2X 2X 2X 2X  0  0  0 2X 2X 2X  0
 0  0  0  0  0 2X 2X  0 2X 2X  0 2X  0 2X  0  0 2X 2X 2X  0  0 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+99x^18+32x^19+251x^20+352x^21+594x^22+352x^23+246x^24+32x^25+68x^26+12x^28+6x^30+1x^32+1x^34+1x^36

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 7.09 seconds.