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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+11x^58+72x^59+52x^60+752x^61+52x^62+72x^63+11x^64+1x^122

The gray image is a code over GF(2) with n=488, k=10 and d=232.
This code was found by Heurico 1.16 in 0.226 seconds.