The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+80x^25+161x^26+426x^27+521x^28+2120x^29+2780x^30+9000x^31+9815x^32+15622x^33+9897x^34+9108x^35+2838x^36+2062x^37+439x^38+392x^39+131x^40+82x^41+34x^42+18x^43+4x^44+2x^45+1x^46+1x^48+1x^52

The gray image is a code over GF(2) with n=264, k=16 and d=100.
This code was found by Heurico 1.16 in 24.5 seconds.