The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^58+64x^59+12x^60+8x^62+1x^64+4x^66+2x^72

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 0.0842 seconds.