The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^20+32x^21+252x^22+416x^23+1244x^24+1088x^25+1932x^26+1088x^27+1229x^28+416x^29+244x^30+32x^31+91x^32+4x^34+14x^36+1x^44

The gray image is a code over GF(2) with n=208, k=13 and d=80.
This code was found by Heurico 1.16 in 0.424 seconds.