The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^20+72x^21+113x^22+166x^23+316x^24+794x^25+1104x^26+800x^27+344x^28+140x^29+78x^30+54x^31+35x^32+18x^33+16x^34+4x^35+1x^38

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 0.135 seconds.