The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  8  0  8  2  2  2  1  2  4 12  1  8  2  0  1
 0  2  0  0  0  2  6 14  8  8 14  2  6  4  8  6 14  8  2  4 12  2 10 14 14 12 12  2 14  0  8 12  8
 0  0  2  0  2  2 10  0 12 14  8 14  2 12  6  4 14  4  8  2  2  2 10  0  6 12  4  4  0  2  6  2  8
 0  0  0  2  2  8 10  2  4  0 14  2  8  2  2  0 12  6 12 12  6 14 10  2 12  2  2  6 12  4 10  2  0
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  8  0  0  8  8  0  0  0  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+435x^28+690x^29+1477x^30+1450x^31+2961x^32+2210x^33+3030x^34+1606x^35+1355x^36+520x^37+411x^38+94x^39+44x^40+18x^41+8x^42+2x^43+4x^44+2x^45+2x^46

The gray image is a code over GF(2) with n=264, k=14 and d=108.
This code was found by Heurico 1.16 in 1.97 seconds.