The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^22+174x^23+628x^24+950x^25+2312x^26+3554x^27+8852x^28+8726x^29+14948x^30+8454x^31+9383x^32+3706x^33+2164x^34+854x^35+444x^36+178x^37+104x^38+20x^39+20x^40+8x^41+4x^42

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 24.6 seconds.