The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+479x^56+880x^57+1966x^58+1784x^59+2632x^60+1632x^61+2444x^62+1464x^63+1539x^64+648x^65+478x^66+208x^67+123x^68+40x^69+40x^70+20x^72+5x^76+1x^80

The gray image is a code over GF(2) with n=488, k=14 and d=224.
This code was found by Heurico 1.16 in 6.49 seconds.