The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  2  1  2  2  1  1  2  2  4  0  4  0  4  8  4
 0 12  0 12  8  4  8  4  0 12  0 12 12 12  8  0  8  4  4  4  8  4  0  8 12  4 12  4  4  4  0
 0  0  8  8  8  8  0  0  0  0  8  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  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+60x^30+59x^32+4x^34+4x^36

The gray image is a code over GF(2) with n=248, k=7 and d=120.
This code was found by Heurico 1.16 in 0.0126 seconds.