The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+227x^20+72x^21+404x^22+624x^23+474x^24+72x^25+124x^26+49x^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 3.34 seconds.