The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  2  2  2  2  2
 0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4 12 12 12  4  0  0  8  8  0  8  0 12  4  0
 0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0  8  8  0  8  8  0  8  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  8  8  0  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^28+192x^30+31x^32+2x^44

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 0.0121 seconds.