The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+141x^24+32x^25+208x^26+288x^27+956x^28+1728x^29+1504x^30+1728x^31+942x^32+288x^33+208x^34+32x^35+116x^36+19x^40+1x^48

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 0.823 seconds.