The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+294x^26+468x^27+1075x^28+1600x^29+1461x^30+1576x^31+930x^32+416x^33+277x^34+36x^35+41x^36+15x^38+1x^40+1x^42

The gray image is a code over GF(2) with n=240, k=13 and d=104.
This code was found by Heurico 1.16 in 71.1 seconds.