The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  8  1  0  1  2  1  2  4 12  1  2  1  4  2  1  1  8  1  2
 0  2  0 14  4  6 12  2  6  0 14  2  4  2  6 14  2  4  2  2 10  8  8  4  6  4  0  2  8  6
 0  0 12  4  4  0  0  4  0  8  4  4 12  0  8  4  4  4  4  0  8  4 12  4  0  4  8  4  4  0
 0  0  0  8  0  0  0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  8
 0  0  0  0  0  0  8  0  0  8  0  8  8  8  8  0  8  8  0  8  8  0  0  8  8  8  8  8  0  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  0  8
 0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  8  0  8  0  0  8  0  8

generates a code of length 30 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+12x^21+90x^22+98x^23+278x^24+482x^25+992x^26+2354x^27+2794x^28+7264x^29+3980x^30+7308x^31+2815x^32+2412x^33+1000x^34+460x^35+228x^36+68x^37+74x^38+18x^39+26x^40+2x^41+8x^42+2x^43+2x^44

The gray image is a code over GF(2) with n=240, k=15 and d=84.
This code was found by Heurico 1.16 in 29.8 seconds.