The generator matrix

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

generates a code of length 30 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+28x^22+114x^23+240x^24+538x^25+1490x^26+3022x^27+8457x^28+11682x^29+14379x^30+11674x^31+8485x^32+3054x^33+1482x^34+538x^35+212x^36+86x^37+24x^38+12x^39+10x^40+4x^42+3x^44+1x^46

The gray image is a code over GF(2) with n=240, k=16 and d=88.
This code was found by Heurico 1.16 in 15.1 seconds.