The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^24+24x^25+40x^26+72x^27+103x^28+672x^29+165x^30+672x^31+94x^32+72x^33+38x^34+24x^35+21x^36+7x^38+1x^40+5x^42+1x^50

The gray image is a code over GF(2) with n=240, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0549 seconds.