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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+142x^62+34x^64+160x^65+374x^66+704x^67+268x^68+160x^69+122x^70+12x^72+66x^74+4x^76+1x^128

The gray image is a code over GF(2) with n=536, k=11 and d=248.
This code was found by Heurico 1.16 in 3.38 seconds.