The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2 12  2  2  2 12  2  0  2  8  2  1
 0  2 12  6  0  6 12 10  8 14  4 10  8 14  4  2  6  2 10  2  0 12  6  2 10  2 14  2  0 12
 0  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  0  8  8  0  0

generates a code of length 30 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+29x^28+72x^29+45x^30+80x^31+17x^32+8x^33+2x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=240, k=8 and d=112.
This code was found by Heurico 1.16 in 0.0118 seconds.