The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+12x^20+98x^21+20x^22+254x^23+17x^24+94x^25+11x^26+2x^27+2x^28+1x^42

The gray image is a code over GF(2) with n=184, k=9 and d=80.
This code was found by Heurico 1.16 in 0.016 seconds.