The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+16x^58+10x^59+1x^60+2x^61+2x^62

The gray image is a code over GF(2) with n=456, k=5 and d=232.
This code was found by Heurico 1.16 in 0.0726 seconds.