The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  0  1  1  2  1 12  1  2  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1  0  3  1  6 12 12 15  1 10  0 10  8
 0  0  8  0  0  8  8  0  0  8  8  8  0  0  8  0  8  0  8  8  8  8  0  8  8  8  8  0  8  8
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0
 0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  0  0  8  0  8  8  8  0  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+21x^26+172x^27+258x^28+392x^29+365x^30+448x^31+211x^32+120x^33+26x^34+20x^35+10x^36+3x^38+1x^50

The gray image is a code over GF(2) with n=240, k=11 and d=104.
This code was found by Heurico 1.16 in 0.0291 seconds.