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

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

Homogenous weight enumerator: w(x)=1x^0+63x^58+208x^59+64x^60+832x^61+32x^62+576x^63+31x^64+32x^66+176x^67+32x^68+1x^122

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 0.311 seconds.