The generator matrix

 1  0  0  1  1  1 14  1  1 10  1  1  4  1 14  1 10  1  1  4  1  4  1 10  1  1
 0  1  0  0 13  1  1  4 11  1  6 15  1  2  4  7  1 15  6  1 15  1  0  1 14  9
 0  0  1  3  7  4  7  1  7 14 11  6  1  2  1  9  0 11  5 10  2  7  5 14 12  6
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8  0  0  0  0  8  8  8  8

generates a code of length 26 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+347x^22+924x^23+2156x^24+2800x^25+4031x^26+2824x^27+2056x^28+816x^29+313x^30+60x^31+43x^32+13x^34

The gray image is a code over GF(2) with n=208, k=14 and d=88.
This code was found by Heurico 1.16 in 4.46 seconds.