The generator matrix

 1  0  0  1  1  1 10  2  1  1 12 10  1  1  1  1  1 10  1  1  0  1 12  1  1  4 14 12  2  1
 0  1  0  8  5 13  1  1 14 12  1  4 15 11  1  2 10 14  3  9  1  4  1 15 14  1 12  4  1  1
 0  0  1 11  3  8 15  2  4  5 11  1  8  1  9  5  2  1  7 14  5  6  2 10  3  1  1  1 12  1

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

Homogenous weight enumerator: w(x)=1x^0+214x^27+794x^28+778x^29+920x^30+454x^31+503x^32+234x^33+144x^34+36x^35+6x^36+12x^37

The gray image is a code over GF(2) with n=240, k=12 and d=108.
This code was found by Heurico 1.16 in 0.0665 seconds.