The generator matrix

 1  0  0  1  1  1  2  1  1 10  1  1  4  6  8  2  1  8  1  1  1  2 14  1  1  1  1  1  8  1
 0  1  0  2  1 11  1  7  0  1  4  1  1 10  1  1  6  0 13 11  0  1  1  8  1 12 12  1  1  2
 0  0  1  1  3  4  5  2  6  7  7  1  6  1  1  0  4  1  6  1  4 15 10 15  4  9 15 15 11  6
 0  0  0  4  0  0 12  4 12  8  8 12 12 12  4  8  0  0  8  0  4 12  8  8  8  0 12  0  4  0
 0  0  0  0  4  8  8 12 12  4  8  4  0 12  4 12 12  4  4  4  0  0  8 12  4  8 12  8  0  4

generates a code of length 30 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+106x^24+542x^25+1655x^26+4090x^27+7297x^28+12152x^29+13446x^30+12576x^31+7775x^32+3882x^33+1243x^34+492x^35+209x^36+44x^37+8x^38+8x^39+4x^40+4x^41+2x^43

The gray image is a code over GF(2) with n=240, k=16 and d=96.
This code was found by Heurico 1.16 in 14.3 seconds.