The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+89x^20+104x^22+749x^24+2224x^26+739x^28+104x^30+73x^32+11x^36+1x^40+1x^44

The gray image is a code over GF(2) with n=208, k=12 and d=80.
This code was found by Heurico 1.16 in 0.87 seconds.