The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+30x^61+207x^62+15x^64+2x^77+1x^94

The gray image is a code over GF(2) with n=496, k=8 and d=244.
This code was found by Heurico 1.16 in 10 seconds.