The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1 12  1  1  0  1  1 10  6  1  1  2  6  1  1  2
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  1  6  5  1 12 15  1  9 10  1  1  0  6  6  1  3  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  0  8
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  0  0  8  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  0  8  0  8  8  8  8  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  0  8  8  8  0  8  8  0  0  8  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  0  8  8  8  8  0  8
 0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  8  8  8  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+60x^26+16x^27+223x^28+304x^29+1069x^30+2112x^31+2493x^32+3808x^33+2507x^34+2192x^35+1064x^36+240x^37+184x^38+32x^39+50x^40+16x^42+9x^44+3x^46+1x^50

The gray image is a code over GF(2) with n=264, k=14 and d=104.
This code was found by Heurico 1.16 in 1.48 seconds.