The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  1  0  6  1  1  1  1 12 10  1  1  1  1  2  2
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  5  1  1 12 10  3  5  1  1  0  8 10  2 14  2
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  0  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0  8  8  0  0  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+338x^28+368x^30+293x^32+16x^34+6x^36+2x^40

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 8.32 seconds.