The generator matrix

 1  0  0  1  1  1 10  1  1 10  1  1 14  2 10  1  1 12  1  1  4  1  1  1 10  0  1  1  1  1  1  1  1
 0  1  0  4  5  1  1  4  4  0  5  5  1  1  6 11  2  1 11 12  1  6 13 15  6  1 15 11  8 10 12 13  0
 0  0  1  7  3  4  3  2  1  1  5  6  2  1  1  1  1  5  7  0  4  3  2  6  1  3  8  2  8  8 10  7  8
 0  0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  0  8  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8
 0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  8  0  8  0  8  0  0  0  0  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  0  8  0  0  0  0  8  8  0  8  8  0  8  0

generates a code of length 33 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+64x^27+360x^28+708x^29+2554x^30+3384x^31+6233x^32+6336x^33+6150x^34+3342x^35+2458x^36+654x^37+382x^38+84x^39+30x^40+12x^41+2x^42+6x^43+6x^44+2x^45

The gray image is a code over GF(2) with n=264, k=15 and d=108.
This code was found by Heurico 1.16 in 4.08 seconds.