The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+2x^30+44x^31+3x^32+12x^33+2x^34

The gray image is a code over GF(2) with n=248, k=6 and d=120.
This code was found by Heurico 1.16 in 0.00922 seconds.