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

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

Homogenous weight enumerator: w(x)=1x^0+60x^61+160x^62+31x^64+4x^77

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 4.93 seconds.