The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^26+304x^27+442x^28+848x^29+792x^30+848x^31+407x^32+304x^33+48x^34+12x^36+8x^38+4x^42+2x^44

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 0.0975 seconds.