The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  4  4  2  1
 0 12  0  4  0  0  4 12  8 12  8  4  8  8 12  4  8  4 12  8  4  8  0
 0  0 12  4  8  4 12  8  8 12  4  8  0 12  4  0  4  4  0  4 12  8  0

generates a code of length 23 over Z16 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 0.00567 seconds.