The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+136x^56+64x^57+176x^58+384x^59+80x^60+64x^61+64x^62+34x^64+16x^66+4x^72+1x^96

The gray image is a code over GF(2) with n=472, k=10 and d=224.
This code was found by Heurico 1.16 in 14.7 seconds.