The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+101x^24+152x^26+64x^27+552x^28+192x^29+1992x^30+192x^31+558x^32+64x^33+124x^34+64x^36+32x^38+3x^40+4x^42+1x^48

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 0.238 seconds.