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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 10 12  0  6 12  2  0  6 10 12  6  8 10  4 14  0 12 10  0  6 14 12 10  8  4 10 10  0 14  4  8  2  2  8 12  4  6 14  0  0  8  8  6  6  8 14 14 12 12  4  4 10  2
 0  0  8  0  0  0  8  0  0  0  0  8  0  0  8  0  0  8  8  8  8  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  8  8  8  8  8  8  0  0  8  0  8  0  8  0  0  0  0  0  8  8
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  8  8  0  0  8  0  8  8  8  0  0  8  8  8  0  8  8  8  0  8  0  0  8  0  8  0  0  8  0  8  0  0

generates a code of length 63 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+303x^60+896x^62+607x^64+240x^68+1x^124

The gray image is a code over GF(2) with n=504, k=11 and d=240.
This code was found by Heurico 1.16 in 0.317 seconds.