The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+82x^25+283x^26+440x^27+877x^28+756x^29+866x^30+440x^31+265x^32+70x^33+1x^34+9x^36+4x^41+2x^42

The gray image is a code over GF(2) with n=232, k=12 and d=100.
This code was found by Heurico 1.16 in 0.299 seconds.