The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+326x^58+1014x^59+2300x^60+3718x^61+5679x^62+6588x^63+8927x^64+8840x^65+8691x^66+7050x^67+5519x^68+3112x^69+2028x^70+906x^71+430x^72+232x^73+105x^74+24x^75+39x^76+2x^77+3x^78+2x^79

The gray image is a code over GF(2) with n=520, k=16 and d=232.
This code was found by Heurico 1.16 in 42.2 seconds.