The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  1  4  1
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12 12  0  8  0  8  8 12 12  0  0 12  4 12  8  0
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0  0 12  0  8 12  4  4  8  8  4  0  0  4 12  4
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  8  0  4  8  0  4  0 12  4 12  4  0  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+29x^26+36x^27+66x^28+224x^29+335x^30+224x^31+49x^32+16x^33+19x^34+12x^35+10x^36+2x^40+1x^54

The gray image is a code over GF(2) with n=240, k=10 and d=104.
This code was found by Heurico 1.16 in 0.0204 seconds.