The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+23x^26+74x^27+107x^28+346x^29+438x^30+1050x^31+1250x^32+1682x^33+1222x^34+1054x^35+404x^36+318x^37+88x^38+62x^39+28x^40+22x^41+19x^42+1x^44+2x^46+1x^48

The gray image is a code over GF(2) with n=264, k=13 and d=104.
This code was found by Heurico 1.16 in 0.554 seconds.