The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+23x^20+32x^21+81x^22+224x^23+360x^24+1024x^25+612x^26+1024x^27+365x^28+224x^29+70x^30+32x^31+13x^32+4x^34+3x^36+1x^38+2x^40+1x^44

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 0.107 seconds.