The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+44x^56+112x^57+282x^58+444x^59+1130x^60+1406x^61+2711x^62+3414x^63+4489x^64+4672x^65+4737x^66+3388x^67+2655x^68+1438x^69+1011x^70+324x^71+218x^72+94x^73+64x^74+32x^75+30x^76+20x^77+21x^78+14x^79+8x^80+2x^81+5x^82+1x^84+1x^86

The gray image is a code over GF(2) with n=520, k=15 and d=224.
This code was found by Heurico 1.16 in 14.2 seconds.