The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  1  4  4  1  4  2  2
 0 12  0  0  0  4 12  4  0  8  4 12  8  0  0 12  4  8 12  4  4  4  0
 0  0 12  0  4  4 12  0  0  0  4  8  0  4 12  8  4  4  4  4  4  0  0
 0  0  0 12  4  0 12  4  0  4 12  8  4  4  0  8  0  0 12  8  0 12  0
 0  0  0  0  8  0  0  0  8  0  8  8  8  0  0  8  0  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  8  0  8  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  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+174x^16+8x^17+378x^18+112x^19+1084x^20+1272x^21+3456x^22+3360x^23+3544x^24+1272x^25+1044x^26+112x^27+416x^28+8x^29+112x^30+25x^32+2x^34+4x^36

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 1.48 seconds.