The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+23x^26+40x^27+24x^28+464x^29+36x^30+328x^31+27x^32+32x^33+4x^34+32x^35+12x^36+1x^58

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 0.0208 seconds.