The generator matrix

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

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+48x^20+120x^21+189x^22+356x^23+167x^24+80x^25+22x^26+20x^27+16x^28+4x^30+1x^38

The gray image is a code over GF(2) with n=184, k=10 and d=80.
This code was found by Heurico 1.16 in 0 seconds.