The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+111x^16+890x^17+3858x^18+11416x^19+29496x^20+51590x^21+67070x^22+51940x^23+29838x^24+11286x^25+3614x^26+832x^27+136x^28+42x^29+18x^30+4x^31+2x^32

The gray image is a code over GF(2) with n=176, k=18 and d=64.
This code was found by Heurico 1.16 in 128 seconds.