The generator matrix

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

generates a code of length 30 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+67x^26+304x^27+462x^28+986x^29+510x^30+970x^31+423x^32+292x^33+45x^34+4x^35+18x^36+2x^37+8x^38+2x^39+2x^42

The gray image is a code over GF(2) with n=240, k=12 and d=104.
This code was found by Heurico 1.16 in 0.105 seconds.