The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^22+126x^23+272x^24+524x^25+1346x^26+3380x^27+8670x^28+10276x^29+16141x^30+10328x^31+8732x^32+3444x^33+1316x^34+476x^35+232x^36+92x^37+74x^38+26x^39+10x^40+2x^42+2x^44+1x^46+1x^48

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 16.4 seconds.