The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  0  3  3  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  0  8  8  0  8
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  8  0  8
 0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+38x^14+8x^15+152x^16+64x^17+656x^18+480x^19+1960x^20+4544x^21+20700x^22+8240x^23+20756x^24+4544x^25+2064x^26+480x^27+640x^28+64x^29+78x^30+8x^31+35x^32+16x^34+8x^36

The gray image is a code over GF(2) with n=184, k=16 and d=56.
This code was found by Heurico 1.16 in 6.17 seconds.