The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^24+64x^25+360x^26+416x^27+1026x^28+1312x^29+1673x^30+1312x^31+1047x^32+416x^33+267x^34+64x^35+90x^36+31x^38+10x^40+5x^42

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 0.517 seconds.