The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+52x^14+28x^15+198x^16+164x^17+378x^18+720x^19+1214x^20+4944x^21+2216x^22+12840x^23+2272x^24+4984x^25+1284x^26+720x^27+364x^28+144x^29+148x^30+28x^31+41x^32+4x^33+18x^34+6x^36

The gray image is a code over GF(2) with n=184, k=15 and d=56.
This code was found by Heurico 1.16 in 3.63 seconds.