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

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

Homogenous weight enumerator: w(x)=1x^0+41x^58+208x^59+325x^60+520x^61+657x^62+970x^63+1000x^64+1096x^65+923x^66+916x^67+519x^68+382x^69+187x^70+130x^71+117x^72+100x^73+43x^74+16x^75+20x^76+14x^77+4x^78+2x^80+1x^90

The gray image is a code over GF(2) with n=520, k=13 and d=232.
This code was found by Heurico 1.16 in 1.36 seconds.