The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^62+100x^63+7x^64+12x^67+2x^70

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 0.219 seconds.