The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^20+68x^21+94x^22+166x^23+225x^24+1314x^25+311x^26+1296x^27+207x^28+168x^29+91x^30+38x^31+34x^32+18x^33+13x^34+4x^35+3x^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.