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

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

Homogenous weight enumerator: w(x)=1x^0+24x^61+78x^62+9x^64+8x^65+2x^66+6x^68

The gray image is a code over GF(2) with n=496, k=7 and d=244.
This code was found by Heurico 1.16 in 0.21 seconds.