The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1
 0  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  0  8  8
 0  0  8  0  8  8  8  0  0  0  8  8  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  8  8  0
 0  0  0  8  8  0  8  8  0  8  8  0  0  0  0  8  8  8  8  0  8  8  0  0  8  8  0  0  8  8

generates a code of length 30 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+14x^29+103x^30+7x^32+2x^37+1x^46

The gray image is a code over GF(2) with n=240, k=7 and d=116.
This code was found by Heurico 1.16 in 0.00728 seconds.