The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  2  2  1  1  2  2  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  8  8  0 12 12  4  0  8  4  8  0  4 12  4 12  0 12  4  0  8
 0  0 12  0  0  0  4 12  4  4  4  8  0  8 12  8  0  0 12 12  0  0  8 12  0 12 12 12  8  8  4 12  4
 0  0  0 12  0  4  4  4  8  4  0 12  4  8  8  0  4  8 12  4  4  4  4  8  4  0  4  4  0  0  4  0 12
 0  0  0  0 12  4  0  4  4  8  0  8 12  0  8 12  8  8 12 12 12  4  8  8  8  4 12  0 12 12 12  8  4
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  8  8  0  0  8  0  8  0  8  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+86x^25+145x^26+166x^27+221x^28+324x^29+414x^30+832x^31+3316x^32+5340x^33+3332x^34+882x^35+404x^36+344x^37+234x^38+150x^39+81x^40+46x^41+35x^42+16x^43+7x^44+4x^45+2x^47+1x^48+1x^56

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 2.78 seconds.