The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+218x^19+674x^20+672x^21+1029x^22+732x^23+521x^24+136x^25+74x^26+26x^27+4x^28+8x^29+1x^30

The gray image is a code over GF(2) with n=176, k=12 and d=76.
This code was found by Heurico 1.16 in 110 seconds.