The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+28x^30+64x^31+31x^32+4x^38

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 0.0115 seconds.