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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+149x^60+72x^62+579x^64+512x^65+496x^66+156x^68+8x^70+67x^72+7x^76+1x^120

The gray image is a code over GF(2) with n=520, k=11 and d=240.
This code was found by Heurico 1.16 in 4.54 seconds.