The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  8  1  1  2  1  1  2  2  1  2  1  1  1  1  1  1  4  1
 0  2  0  6  0 14 10  8  6  8  2  8  6  2 14  2 12  0 14  6 14  6 14 14  2  6  0  2  6 10 12  4  0
 0  0 12  0  0  0  0  4  4  8  4  4  0  4  4  8  4  8  8  4 12  0  4  4 12  4  8  8 12 12  0  0 12
 0  0  0 12  0  8 12  0 12  4 12 12  0  8  8  0 12  4  4  0  8 12  4  8 12  8  4  8 12  4  8 12  4
 0  0  0  0 12 12  4 12  8  0 12  4  8 12  0 12  0 12  0 12  8  4  8  8 12  0  8  0  4 12  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+60x^27+163x^28+304x^29+503x^30+904x^31+1425x^32+1596x^33+1341x^34+886x^35+501x^36+258x^37+121x^38+68x^39+21x^40+16x^41+19x^42+2x^43+2x^45+1x^48

The gray image is a code over GF(2) with n=264, k=13 and d=108.
This code was found by Heurico 1.16 in 0.64 seconds.