The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  2  2  2  2  1  1  1  1  1  2  1  4  0  2  2  2  0  4  4  4  2  1  4  4  2  8  8  1  1  4  2  2  2  2  4  1
 0 12  0 12  8  4  8  4  0 12  0 12  8  4  8  4  0 12 12 12  0 12  8  4  4  0  8  4  8  4  0 12 12  8 12  4  0  8 12  4 12  0  8  4  4  4  4  4  4  4  0  8  8  0  8  0  8  0 12
 0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  0  0  0  8  0  8  0  0  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+6x^58+100x^59+6x^60+2x^62+12x^63+1x^64

The gray image is a code over GF(2) with n=472, k=7 and d=232.
This code was found by Heurico 1.16 in 0.18 seconds.