The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+292x^56+96x^57+544x^58+480x^59+1070x^60+960x^61+1280x^62+960x^63+1205x^64+480x^65+448x^66+96x^67+222x^68+32x^70+15x^72+4x^76+6x^80+1x^88

The gray image is a code over GF(2) with n=496, k=13 and d=224.
This code was found by Heurico 1.16 in 1.67 seconds.