The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+40x^12+164x^14+32x^15+182x^16+192x^17+224x^18+768x^19+592x^20+4928x^21+824x^22+16832x^23+784x^24+4928x^25+688x^26+768x^27+344x^28+192x^29+68x^30+32x^31+89x^32+80x^34+16x^36

The gray image is a code over GF(2) with n=184, k=15 and d=48.
This code was found by Heurico 1.16 in 2.05 seconds.