The generator matrix

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

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+80x^19+113x^20+212x^21+244x^22+204x^23+73x^24+76x^25+4x^26+4x^27+12x^28+1x^36

The gray image is a code over GF(2) with n=176, k=10 and d=76.
This code was found by Heurico 1.16 in 0.093 seconds.