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

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

Homogenous weight enumerator: w(x)=1x^0+46x^26+8x^27+88x^28+56x^29+656x^30+56x^31+51x^32+8x^33+30x^34+19x^36+4x^38+1x^52

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 0.0235 seconds.