The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1 10  1 10 14  1 12  1 10  1  2  2  1  1  1  1  1  1
 0  1  1  6  1 11 13  4  1  2  1  7  4  1  9  1  1 10  1 10  1 11  4  2  8 11  7  6  9  0
 0  0  2  0  8  4 12 10  6 10  6  2 14  2 14 14 12  0 10  6  8  6  6  2  2  4  0  6  6  0
 0  0  0  8  8  0  8  0  8  8  0  8  0  8  8  0  0  0  0  0  0  8  8  0  8  8  0  8  0  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+324x^27+633x^28+654x^29+836x^30+652x^31+509x^32+248x^33+80x^34+32x^35+33x^36+10x^37+8x^38

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 0.107 seconds.