The generator matrix

 1  0  1  1  1 12  1  1  2 14  1  1  1  8 10  1  1  1  8  1  2  1  1  2  1  1  1 14  4 12  1 12  1
 0  1  1 12 11  1  2  7  1  1 13  6  3  1  1  4 14  9  1 11  1  4 14 12  7 10 12  1  2  2 13  1 12
 0  0  2  6  4  6  2 14  2  4  4  0  0 12  6  2  4  6  2  2  4  4  2  6  4  6 14  2  2  6  4 14  6
 0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  0  0  8  8  0  8  8  0  0  8  8
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  8  0  8  8  8  0  8  0  8  0  8  8  0  0  0  8  0
 0  0  0  0  0  8  0  0  8  0  0  8  0  8  0  8  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  8
 0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  0  8  0  8  0  0  8  0  0  0  0  8  0
 0  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  8  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+26x^25+141x^26+294x^27+844x^28+1592x^29+4304x^30+7412x^31+11641x^32+13076x^33+11606x^34+7432x^35+4268x^36+1640x^37+820x^38+220x^39+132x^40+50x^41+21x^42+2x^43+8x^44+4x^46+2x^48

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 18.1 seconds.