The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  8  2  1  2  1  8  2  1  0  1  4  0  1  2  1  0  1  1  1  2  1  2  1  1  1  2  1  2  1  8  4  2  1  2  1  2  1
 0  2  0  6  0  6  8 10  8  6  8  2  0 14  2  0 14  0  8 10 10  4 12 10  2  6  2 14  2 10  4 14 14  2  6 12  2 10  2  2  0  2  2  2  4  2  4  6  4  2 10 12 14  8 12 12 10  4  8 14  6  6 10  0  0
 0  0 12  0  0  0 12  0  0  0  8  0 12  0  8 12  4  0  8  4  4  4 12 12  4  8 12  0  4  8 12  0  4 12  8  4  4 12  4  0  4  8  4 12  8 12  4  0  0  4  4  8  8  0  0  0  8  8  4 12 12  0  8  0  0
 0  0  0 12  0  0  0  4  0  0  0  8  0  4  4  8  0  4  4 12  8  4 12 12  8  4  4  0 12  8  4 12  8  8 12  8  0 12 12  8 12  8  4  8  4  0  4 12  0  4  0 12 12  4  0  4 12  0 12  0  4 12  0  4  8
 0  0  0  0 12  0  4  0  8  4  4  4  4 12  4  8  4 12  0  8  0  4  0  8 12  8  8  4  0  4  8 12  8  4  4  0  4  4  4  0  4 12 12  8  4  0  4 12  0  4  0  4  4  4 12  0 12  4  8 12  4  0  8  8  0
 0  0  0  0  0 12  0 12 12  4  4  0  4  0 12 12 12  8  0  8  4  8  4 12  8 12  8  8  4  4  0  4  0 12  0  0  8 12  0  0  4  4  8 12 12  8  0  8 12  8 12  8  4 12  0  8  8 12  0 12  0 12 12 12  0

generates a code of length 65 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+62x^55+199x^56+290x^57+434x^58+698x^59+1044x^60+1632x^61+2294x^62+3408x^63+4228x^64+4344x^65+4282x^66+3270x^67+2293x^68+1676x^69+968x^70+636x^71+434x^72+218x^73+123x^74+96x^75+47x^76+28x^77+19x^78+22x^79+6x^80+4x^81+5x^82+4x^84+3x^86

The gray image is a code over GF(2) with n=520, k=15 and d=220.
This code was found by Heurico 1.16 in 22.4 seconds.