The generator matrix

 1  1  1  1  1  1  1  2  1  0  1  1  2 12  1  1  1  1  1  1  4  2  2  1  1
 0  2 12  6  0  6 12  6 10  2  0  6 10  2 12 10  0  6 12 10  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  0  8  8  8  8  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  0  0  8  0  0  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  0  0  8  8  0  0

generates a code of length 25 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+112x^16+126x^18+466x^20+1256x^22+6186x^24+6356x^26+1164x^28+424x^30+239x^32+30x^34+18x^36+6x^40

The gray image is a code over GF(2) with n=200, k=14 and d=64.
This code was found by Heurico 1.16 in 1.04 seconds.