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

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

Homogenous weight enumerator: w(x)=1x^0+136x^58+168x^59+213x^60+292x^61+500x^62+300x^63+195x^64+92x^65+46x^66+44x^67+45x^68+5x^70+10x^72+1x^110

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 0.499 seconds.