The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+12x^29+40x^30+2x^32+4x^33+4x^34+1x^40

The gray image is a code over GF(2) with n=240, k=6 and d=116.
This code was found by Heurico 1.16 in 0.00981 seconds.