The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+304x^22+1036x^23+2057x^24+2912x^25+3918x^26+2836x^27+1964x^28+972x^29+292x^30+48x^31+32x^32+4x^33+6x^34+2x^36

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 1.5 seconds.