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  1  1  8  1  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 10 12  8 14  4 10  0  6 12 10  6  0 12 10  0  6 12 10 14  0  2 12  8  4  6 14  8 10  2  4  6 14 10  2  0  0  8  0  8  8  6  6 14 14  8 12 12  4 10 12  4  0
 0  0  8  0  0  0  8  0  0  0  0  8  0  0  8  0  0  8  0  8  8  0  0  8  8  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  0  0  8  0  0  0  8  0
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  0  0  8  8  0  8  8  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  8  0  0  0  8  8  0  8  0  8  8  8  0  0  0  8  8  0  0  8  8  8  0  8  8  0  0  8  0  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  8  8  0  0  0  0  8  0  0  8  0  8  0  8  0  0  0  8  8  8  8  0  0  8  8  0  8  8  0  8  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+103x^58+96x^59+136x^60+832x^61+64x^62+544x^63+31x^64+88x^66+64x^67+88x^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 0.356 seconds.