The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+190x^26+188x^27+778x^28+820x^29+2494x^30+2724x^31+6712x^32+4780x^33+6933x^34+2820x^35+2481x^36+780x^37+677x^38+156x^39+131x^40+20x^41+73x^42+9x^44+1x^46

The gray image is a code over GF(2) with n=264, k=15 and d=104.
This code was found by Heurico 1.16 in 8.38 seconds.