The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^20+304x^22+256x^23+283x^24+80x^26+10x^28+1x^44

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 0.041 seconds.