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

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

Homogenous weight enumerator: w(x)=1x^0+167x^54+526x^56+32x^57+757x^58+180x^59+1227x^60+1016x^61+2405x^62+2800x^63+5132x^64+4168x^65+5268x^66+2952x^67+2470x^68+904x^69+1173x^70+208x^71+662x^72+24x^73+383x^74+4x^75+186x^76+77x^78+31x^80+8x^82+4x^84+2x^86+1x^92

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 28.4 seconds.