The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^24+116x^25+130x^26+330x^27+212x^28+1090x^29+263x^30+1102x^31+196x^32+338x^33+101x^34+70x^35+43x^36+22x^37+17x^38+2x^39+7x^40+2x^41+1x^42+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 0.175 seconds.