The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1  1 12  1  2  6  1  1  0  2  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  1 15  6 12  1 10 10  1  0  3  1  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  0  8  0  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  8  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  0  8  8  0  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  0  8  0  8  8  8  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  8  0  8  0  0  0

generates a code of length 30 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+43x^20+16x^21+40x^22+204x^23+89x^24+340x^25+299x^26+1884x^27+3740x^28+6260x^29+6938x^30+6260x^31+3737x^32+1884x^33+314x^34+340x^35+55x^36+204x^37+77x^38+16x^39+13x^40+11x^42+2x^44+1x^54

The gray image is a code over GF(2) with n=240, k=15 and d=80.
This code was found by Heurico 1.16 in 3.48 seconds.