The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+39x^16+82x^17+239x^18+376x^19+1024x^20+1444x^21+3329x^22+3310x^23+3300x^24+1550x^25+993x^26+340x^27+228x^28+56x^29+47x^30+6x^31+16x^32+4x^33

The gray image is a code over GF(2) with n=184, k=14 and d=64.
This code was found by Heurico 1.16 in 1.22 seconds.