The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+206x^25+324x^26+158x^27+109x^28+96x^29+75x^30+46x^31+2x^32+6x^33+1x^34

The gray image is a code over GF(2) with n=216, k=10 and d=100.
This code was found by Heurico 1.16 in 11.6 seconds.