The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+271x^28+128x^29+288x^30+128x^31+174x^32+32x^36+1x^44+1x^48

The gray image is a code over GF(2) with n=240, k=10 and d=112.
This code was found by Heurico 1.16 in 3.29 seconds.