The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  0  2  4  2  4  2  4
 0 12  0 12  0 12  0 12  8  4  0 12  0  8 12  4  0  0  0  8 12 12 12  4 12 12 12 12  0  8
 0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  0  8  8  0  8  8
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  0  8  0  8  8  0  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  8  8  8  8  0  0  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  0  0  8  0  8  8  8  0  8  0  8  0  0  8  8  8  8  0  8  0  8  8  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+152x^24+32x^25+64x^26+288x^27+224x^28+1216x^29+128x^30+1216x^31+259x^32+288x^33+64x^34+32x^35+112x^36+20x^40

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 38.7 seconds.