The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+249x^24+128x^25+304x^26+128x^27+184x^28+16x^30+13x^32+1x^40

The gray image is a code over GF(2) with n=208, k=10 and d=96.
This code was found by Heurico 1.16 in 8.72 seconds.