The generator matrix

 1  0  0  0  1  1  1  1  8  1  8 10  1  1  6  6 12  6  1  1  1  1  2  6  0  1  1  1  1  1 14  1  1
 0  1  0  0  0  8  5 15  1 11  1  6  7 14  1  2  1 12 11 13  2 14  1  1  1  5 11 14  2  6  6  5  8
 0  0  1  0  1 14  4  2  2  3  5  1  5 15 15  1  4  8 10  2  4 11  4 13 15  5  7 12 14  9  1  0  2
 0  0  0  1  1  3  7 10  3  9  2  5  2  0  5  6 15  1 11 12  5  1  8 13  4  9  4  4 12 14 13  6 14
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+202x^27+1564x^28+3686x^29+9080x^30+14576x^31+23979x^32+24260x^33+24670x^34+15238x^35+8774x^36+3160x^37+1444x^38+286x^39+112x^40+28x^41+6x^42+2x^44+2x^45+2x^47

The gray image is a code over GF(2) with n=264, k=17 and d=108.
This code was found by Heurico 1.16 in 62.7 seconds.