The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  8  1  2  1  1  1  2  1  4  1  2  1
 0  2  0  6  4 14 12  2  0  6 12 10  8  2  2 12 14  6  2  2 14 10 10 14  6 10  8  4 12  8
 0  0 12  0  4  4  8  4  0  8  0  0  4  8  4  4  4 12 12  4 12  0  8 12  0 12  4 12 12 12
 0  0  0  8  0  0  8  0  0  8  8  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0  8  0  8  8  0  8  8  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+115x^26+32x^27+384x^28+96x^29+840x^30+96x^31+330x^32+32x^33+88x^34+20x^36+12x^38+1x^42+1x^48

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 0.059 seconds.