The generator matrix

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

generates a code of length 30 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+264x^26+88x^27+759x^28+408x^29+1130x^30+456x^31+603x^32+72x^33+260x^34+44x^36+10x^38+1x^44

The gray image is a code over GF(2) with n=240, k=12 and d=104.
This code was found by Heurico 1.16 in 6.14 seconds.