The generator matrix

 1  0  0  1  1  1 14  6  1  1  1  4  1  0  8 12  1  1  1  1 10  2 10  1 12  1  1  1  1  1
 0  1  0  0 13  1  1  6 13  9  8  1  2  1  6  1  7 11 10 14  1 12  1  2 12 15 12  4  4  0
 0  0  1  3  7  4  7  1 13 10 14  7  1  6  1  1  4 15  0 10  6  1  9  3  1  5  7 13  2  0
 0  0  0  8  8  0  8  8  0  8  0  0  0  8  8  8  0  0  8  0  8  0  8  0  8  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+138x^26+536x^27+1379x^28+1176x^29+1918x^30+1108x^31+1220x^32+460x^33+182x^34+20x^35+21x^36+28x^37+2x^38+3x^40

The gray image is a code over GF(2) with n=240, k=13 and d=104.
This code was found by Heurico 1.16 in 0.266 seconds.