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  1
 0 12  0  4  0  0  4 12  8  8 12  4  8  8 12  4  8  4 12  0 12 12  0  0  8  8  4  4  8  0
 0  0 12  4  8  4 12  8  8  4 12  8  0 12  4  0  4  4  0 12  4  8  0  8  8 12 12  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+21x^28+12x^29+183x^30+18x^31+18x^32+1x^34+2x^43

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 0.00924 seconds.