The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  2  2  4  1  4  1  4
 0 12  0  0  0  0  0  0  8 12  4  4  8  4  4 12  8  4 12 12 12  0  4
 0  0 12  0  0  0  4 12 12  4  4  4  0  0 12  8  4  8  8  8  4  4  0
 0  0  0 12  0  4  4 12  0  8  8 12  0  4  4  8 12 12  0  4  0  8  0
 0  0  0  0 12  4  0 12  4 12  0  4  4  8  0  4 12  8  8  8  4 12  4
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  0  8  0  8  8  0  8
 0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  8  0  8  8  8  8  0

generates a code of length 23 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+58x^15+157x^16+300x^17+362x^18+684x^19+1281x^20+3264x^21+6518x^22+7660x^23+6120x^24+3400x^25+1466x^26+768x^27+340x^28+192x^29+98x^30+42x^31+34x^32+12x^33+4x^34+4x^35+3x^36

The gray image is a code over GF(2) with n=184, k=15 and d=60.
This code was found by Heurico 1.16 in 4.97 seconds.