The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+46x^58+160x^59+40x^60+2x^62+1x^64+6x^68

The gray image is a code over GF(2) with n=472, k=8 and d=232.
This code was found by Heurico 1.16 in 0.187 seconds.