The generator matrix

 1  0  1  1  1  8  1  1 14  1  1  6  1 14  1  1  1  8  2  1  1  1  1 10 10 12  6 10  2  1
 0  1  1  4  3  1  2  9  1  0 15  1  6  1  6 15  9  1 14 11  9  0 14  1  1  1  1  1  1  8
 0  0  2 10  8 10 10  8 10 12 14  0  0 12 12  2 14  4 14  4 12 14  6  2 14 10  6  4 12  4

generates a code of length 30 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+94x^27+414x^28+372x^29+394x^30+336x^31+284x^32+76x^33+37x^34+18x^35+20x^36+1x^40+1x^42

The gray image is a code over GF(2) with n=240, k=11 and d=108.
This code was found by Heurico 1.16 in 0.032 seconds.