The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  1  2  1  1 12  1  1  2  0  1  1  1  2  2  1  2  2  1  1
 0  2 12  6  0  6 12 10  6  2  0  6 10 12 10  2  0  6  6  2 10 12  0  6  6  0  6  6  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  0  8  8  8  8  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  8  0  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  0  0  8  8  8  0  8  0  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  8  0  8  0  8  0  8  0  0  8  0  8  8  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8
 0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  0  8  0  8  0  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+83x^20+60x^22+16x^23+489x^24+112x^25+1360x^26+592x^27+4795x^28+5424x^29+6888x^30+5424x^31+4826x^32+592x^33+1360x^34+112x^35+481x^36+16x^37+60x^38+59x^40+17x^44+1x^48

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 5.52 seconds.