The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  8  1  1  4  1  2  1 12  2  2  1  1  2  1  1  2  1  1
 0  2  0 14  4  6 12  2  0  6  8  6  2 10 14  2  4 14  2 12 10  8  2  6  4  2  4  4  0 14 10  0 12
 0  0 12  4  4  0  0  4  0  8 12  0  0  8  4 12  4  4 12  8  0  4  0  0  4  4  8  4 12  4  0 12  0
 0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  0  0  8  8  0  8  0  0  0  8  0  0  8  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0  0  0  0  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0  0  8  8  8  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  8  0  8  8  8  0  8  0  0  8  8
 0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  0  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+90x^26+124x^27+256x^28+470x^29+911x^30+2296x^31+1811x^32+4384x^33+1844x^34+2336x^35+925x^36+472x^37+198x^38+104x^39+68x^40+22x^41+26x^42+4x^43+10x^44+2x^45+3x^46+1x^52

The gray image is a code over GF(2) with n=264, k=14 and d=100.
This code was found by Heurico 1.16 in 5.11 seconds.