The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1  1  1 12 10  1  1  1  1  0  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12 10  9 15  1  1  5  0  0 12  1  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  8  0  8  8  0  0  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  0  0  0  8  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  8  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  8  8  0  8  8  8  8  0  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^24+68x^25+126x^26+420x^27+1302x^28+920x^29+2426x^30+920x^31+1305x^32+420x^33+122x^34+68x^35+26x^36+6x^38+4x^40+8x^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 0.299 seconds.