The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  1  1  1  1  2  1 12  1  1  1  2  1  1  1
 0  2 12  6  0  6 12 10  0  6  6  2 12 10 10 12  6 10  0  0 10  6  2 10 10 12  6  0  6 14
 0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  0  0  8  8  0  0  8  0  8  8  8
 0  0  0  8  0  0  0  8  0  0  8  0  8  0  8  8  8  0  0  8  8  8  8  0  0  8  8  0  8  0
 0  0  0  0  8  0  0  8  8  8  0  8  0  8  0  0  0  8  8  0  0  8  0  8  8  0  0  0  8  0
 0  0  0  0  0  8  0  8  0  0  8  0  0  8  0  0  0  8  8  8  8  0  8  0  8  8  0  0  8  0
 0  0  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  8  8  0  0  8  0  8  0  0  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+34x^24+64x^25+63x^26+208x^27+294x^28+1136x^29+512x^30+1136x^31+281x^32+208x^33+55x^34+64x^35+26x^36+8x^38+4x^40+1x^42+1x^50

The gray image is a code over GF(2) with n=240, k=12 and d=96.
This code was found by Heurico 1.16 in 0.139 seconds.