The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  1  2  1  4  4  1  1  8  1  2  1
 0 12  0  0  0  0  0  0  0  4 12  8 12  8 12  4  8  8  4  4  8  8  4 12  0  4  4 12  8 12
 0  0 12  0  0  8 12 12  4  4  4  0  0  8  4 12 12  8  8  0  4  4  0  0  0  4  0  8  8  0
 0  0  0 12  0 12 12  4  8  0  0 12  8 12  4 12  8 12  0 12  4  0  4  8  0  8  8  8 12  4
 0  0  0  0 12  4  8  4  4  0  4  0 12 12  8  4  4  0  4  4 12 12  8  8  8  0  4  8 12  4

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

Homogenous weight enumerator: w(x)=1x^0+75x^24+4x^25+228x^26+148x^27+542x^28+616x^29+896x^30+616x^31+554x^32+148x^33+156x^34+4x^35+69x^36+32x^38+6x^40+1x^44

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 0.172 seconds.