The generator matrix

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

generates a code of length 23 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+298x^16+336x^18+1832x^20+5488x^22+6280x^24+1328x^26+720x^28+16x^30+77x^32+8x^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 25.1 seconds.