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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+13x^56+54x^57+137x^58+32x^59+2x^60+8x^61+6x^62+2x^73+1x^82

The gray image is a code over GF(2) with n=464, k=8 and d=224.
This code was found by Heurico 1.16 in 0.127 seconds.