The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  6 14  1 10  1  1
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  1  9  5  3 15 13 11  9  7  1  0  6  8 14 12 10  4  2  0  6  5  3  1  1 11  1 10  8
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  8  0  8  0  8  0  8  8  0  0  0  0  8  0  8  8  0  8  0  0  8  0
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  0  0  0  8  8  8  8  8  8  0  0  0  0  0  8  0
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  0  0  8  8  0  8  0  8  0  8  0  8  0  8  0  0  8  8  0  8  8  8  0  8  0  8

generates a code of length 62 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+101x^58+272x^59+209x^60+336x^61+213x^62+336x^63+203x^64+272x^65+99x^66+2x^68+1x^70+1x^76+1x^78+1x^94

The gray image is a code over GF(2) with n=496, k=11 and d=232.
This code was found by Heurico 1.16 in 0.156 seconds.