The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  4  1  1  1  1  4  2  1  1  1  1
 0 12  0 12  0 12  0 12  8  4 12 12 12  0  0  8 12 12 12  0 12  0  0
 0  0  8  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  8  0  8  8
 0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  0  8  8  8  8  0  8  8
 0  0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  8  0  8  0  0  8  8
 0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  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+58x^16+40x^18+268x^20+384x^21+384x^22+1792x^23+456x^24+384x^25+200x^26+96x^28+16x^30+13x^32+4x^36

The gray image is a code over GF(2) with n=184, k=12 and d=64.
This code was found by Heurico 1.16 in 0.0969 seconds.