The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  1  1  4  1
 0  2  0  6  8  6  0 10  4 14 12  6  4  4  6  2  6 14  4 10 10  8  4
 0  0 12  0  8  4  4  4 12  4  8  0  4  0  4 12  8  8  0 12  8  0  0
 0  0  0 12 12  4 12  8  8  0 12  0 12  8  4  8 12  8  4  0  0  4  0

generates a code of length 23 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+237x^20+112x^21+384x^22+544x^23+498x^24+112x^25+96x^26+63x^28+1x^40

The gray image is a code over GF(2) with n=184, k=11 and d=80.
This code was found by Heurico 1.16 in 8.08 seconds.