The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^19+246x^20+560x^21+272x^22+540x^23+246x^24+76x^25+8x^27+2x^28+4x^29+1x^32

The gray image is a code over GF(2) with n=176, k=11 and d=76.
This code was found by Heurico 1.16 in 0.031 seconds.