The generator matrix

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

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+28x^18+176x^19+516x^20+856x^21+989x^22+844x^23+470x^24+168x^25+26x^26+12x^28+5x^30+4x^31+1x^32

The gray image is a code over GF(2) with n=176, k=12 and d=72.
This code was found by Heurico 1.16 in 0.063 seconds.