The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1 12  1  1 10  1  4  2  1  1  1  1  0  6  1  1  1  1  1  1 12 10  1  1  1  1  4  1  1  2  1  1  1  8  2  1  1  1 12  6  4  8  4  1  6  4  2  2  2
 0  1 11  6  5  1  9  8  1  7 14  1  4  1 13  2  1  3  1  1 15 12 10  1  1  1 11 13  0 10  7  1  1  1 12  6  0  3  1 12  5  1  6 10 15  1  2  1  3 15  2  1  0  1  1  5  1  0  2  4  6
 0  0 12  0  8  0  8  4 12  4 12  4  4  0 12 12  0  0 12  4  0  8  8  4  8  8  4  4  0  8 12 12  8  8  8  0  4  0 12  4  8  4 12 12  0 12  8  8 12  4  0  4  8  8  0  0 12  4  8  4 12
 0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  0  8  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0  0  0

generates a code of length 61 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+150x^57+252x^58+298x^59+177x^60+316x^61+260x^62+230x^63+165x^64+130x^65+30x^66+22x^67+8x^68+4x^69+2x^70+1x^76+2x^87

The gray image is a code over GF(2) with n=488, k=11 and d=228.
This code was found by Heurico 1.16 in 0.307 seconds.