The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  8  2  1  1  2  1  1  2  1  1  1  2  1 12  1  1  2
 0  2  0  6  0 14  0  6  2 12  6 14  2 12 14  6  2  6 10 12 10  8 12 14  2  0  0  0  6  2  0 14 12
 0  0 12  0  0  0  4  4  4  8  0  0  4 12  4  0  4 12  4  8  8  8  8  0  8 12  8  4  0  4 12 12 12
 0  0  0 12  0  0  0  0  0  0  0  8  8  8  0  4  4  4 12 12  4  4  4 12  0 12  0  8 12  8 12  4 12
 0  0  0  0 12  4  4  4  8  0  0 12 12  4  8  4  4  0  8  4 12  8  4  0 12  0 12  8 12  4  0 12  8
 0  0  0  0  0  8  0  8  8  0  8  0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  8  0  8  0  8  0  8  0  0  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^25+209x^26+260x^27+482x^28+982x^29+1523x^30+3640x^31+6005x^32+6470x^33+5956x^34+3630x^35+1516x^36+994x^37+508x^38+270x^39+121x^40+54x^41+59x^42+6x^43+2x^44+1x^46+2x^47+1x^56

The gray image is a code over GF(2) with n=264, k=15 and d=100.
This code was found by Heurico 1.16 in 44.7 seconds.