The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^24+148x^25+359x^26+498x^27+973x^28+1182x^29+1921x^30+1130x^31+970x^32+482x^33+297x^34+94x^35+43x^36+42x^37+15x^38+6x^39+5x^40+2x^41

The gray image is a code over GF(2) with n=240, k=13 and d=96.
This code was found by Heurico 1.16 in 0.426 seconds.