The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+32x^17+78x^18+186x^19+239x^20+1116x^21+1480x^22+1934x^23+1490x^24+1128x^25+216x^26+182x^27+56x^28+28x^29+16x^30+2x^31+5x^32+2x^34+1x^36

The gray image is a code over GF(2) with n=184, k=13 and d=68.
This code was found by Heurico 1.16 in 72.4 seconds.