The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+15x^28+64x^29+352x^30+64x^31+15x^32+1x^60

The gray image is a code over GF(2) with n=240, k=9 and d=112.
This code was found by Heurico 1.16 in 0.0202 seconds.