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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+12x^57+31x^58+170x^59+28x^60+8x^61+1x^62+2x^63+2x^76+1x^84

The gray image is a code over GF(2) with n=472, k=8 and d=228.
This code was found by Heurico 1.16 in 0.102 seconds.