The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+7x^62+106x^63+7x^64+6x^71+1x^78

The gray image is a code over GF(2) with n=504, k=7 and d=248.
This code was found by Heurico 1.16 in 0.138 seconds.