The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+143x^24+232x^25+496x^26+928x^27+1956x^28+2408x^29+4072x^30+2464x^31+1923x^32+920x^33+464x^34+192x^35+122x^36+24x^37+24x^38+13x^40+2x^44

The gray image is a code over GF(2) with n=240, k=14 and d=96.
This code was found by Heurico 1.16 in 1.82 seconds.