The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  4  1  1  1  1  2  1  1
 0 12  0 12  0 12  0  4  8  0 12  0 12 12  4  0  8 12 12  8  0  8 12 12 12  0
 0  0  8  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  8  0  0  8  0  0
 0  0  0  8  0  0  0  8  0  0  8  8  8  8  0  8  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  0  0  8  0  0  8  0  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  0  0  0  8  8  0  0  8  0  0  8  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  0  0  8  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+16x^20+48x^21+34x^22+64x^23+50x^24+528x^25+578x^26+528x^27+43x^28+64x^29+22x^30+48x^31+13x^32+6x^34+4x^36+1x^44

The gray image is a code over GF(2) with n=208, k=11 and d=80.
This code was found by Heurico 1.16 in 0.0408 seconds.