The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  4  2  4  2  4
 0 12  0  0  0  0  0  0  0  0  4  8 12 12  8  4  8  4  8  0  0  4  4  4  8 12
 0  0 12  0  0  0  4 12 12  8  4  0 12  8 12  4 12 12  0  8  0 12  8  8  8 12
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  8  4  8  4  0  4 12  8  8 12 12  8
 0  0  0  0 12  4  8  4  4  0  8  4 12  4 12 12  0 12  4  0  8  0  4  0  4 12
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0  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+170x^20+36x^21+288x^22+352x^23+780x^24+1628x^25+1648x^26+1728x^27+762x^28+316x^29+272x^30+32x^31+137x^32+4x^33+32x^34+4x^36+2x^40

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 0.494 seconds.