The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  0  1  1  1  2  1  1  4  4  2  1  0  1  2
 0  2  0  6  4 14 12  2  0  6 12 10 14  2 12  6  2  6  2  0  6  4 14  4  8  8 12  8  6 14
 0  0 12  0  4  4  8  4  0  8  0  8 12  4  4  4  8  0 12  0  0 12 12  4  4  4  0  4  8  4
 0  0  0  8  0  0  8  0  0  8  0  0  0  8  8  0  8  8  0  8  8  0  8  0  0  8  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  0  8  8  0  8  8  0  8  0  8  0  8  0  8  0  0  0  0  8  8
 0  0  0  0  0  8  0  8  0  0  8  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8

generates a code of length 30 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+78x^25+138x^26+444x^27+282x^28+882x^29+462x^30+942x^31+277x^32+370x^33+90x^34+82x^35+14x^36+14x^37+10x^38+2x^39+2x^40+4x^42+2x^43

The gray image is a code over GF(2) with n=240, k=12 and d=100.
This code was found by Heurico 1.16 in 1.2 seconds.