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

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

Homogenous weight enumerator: w(x)=1x^0+43x^58+52x^60+36x^62+64x^63+291x^64+1152x^65+268x^66+64x^67+12x^68+4x^70+4x^72+24x^74+16x^76+8x^78+8x^80+1x^122

The gray image is a code over GF(2) with n=520, k=11 and d=232.
This code was found by Heurico 1.16 in 52.3 seconds.