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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  4  2  2  2  4  4  4  2  2  1  4  2  1  2  2  1  1  1  2  1  2  1
 0 12  0  0  0  0  0  0  0  0  0  8  4  4  4  8 12  0 12 12  4  8  8  8  4  0 12  4 12  4  4  0 12  8 12  8  0  4 12  4  4  0  8  4 12  8 12 12  4  0  0 12 12  8  0  0  4  0  8  8  8  4  8  8  8
 0  0 12  0  0  0  0  0  0  0  0 12  8 12  4  4 12  4  4  0  8  0 12 12  4  4  0 12  8  0 12  8  8  0  0 12  4  0 12  0  8 12  4  8 12  4  8  4  0  4 12  8  8 12  0  8  4  4  8  4  0  0  4  8  8
 0  0  0 12  0  0  0  4 12 12  8  4 12  0 12  4  8  0 12 12  8 12  8 12  0  4 12  8  8  8  0  4  0 12  4  8  4  8  4  4  4  8  0  8  4  4  4  8  4 12  4  0  8  8  8 12  0  8  0  8  8  8 12  4  0
 0  0  0  0 12  0  4  4  4  0  8  0  0  0  0  0  0  8  8 12  4  4  4  4 12 12  8  4  4  8  0  0  8  8  8  4  8  0  8 12  8  4  4  8  0 12 12  0 12 12  0  0 12 12 12 12  4  4 12  0  4  4  0  4  4
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  0  4  4  4 12  0  8  0  4  8  0  4  8 12 12  4  8 12 12  8  4  8  0  0  8  4  4  4  4 12  8  0  8  4  4 12 12  8 12  8 12  4  0  8  8 12  4  8  4  0  0
 0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  0  0  0  8  8  0  0  0  8  0  0  0  0  8  8  8  8  8  0  0  8  8  8  8  0  8  8  8  8  8  8  8  8  0  8  0  8  0  0  8  0

generates a code of length 65 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+96x^54+184x^55+254x^56+342x^57+421x^58+534x^59+719x^60+1080x^61+2218x^62+3252x^63+4480x^64+5624x^65+4470x^66+3338x^67+2265x^68+1032x^69+753x^70+518x^71+377x^72+226x^73+206x^74+140x^75+68x^76+72x^77+25x^78+30x^79+27x^80+8x^81+3x^82+4x^83+1x^96

The gray image is a code over GF(2) with n=520, k=15 and d=216.
This code was found by Heurico 1.16 in 28.2 seconds.