The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+26x^21+72x^22+78x^23+39x^24+22x^25+15x^26+2x^27+1x^34

The gray image is a code over GF(2) with n=184, k=8 and d=84.
This code was found by Heurico 1.16 in 0.016 seconds.