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  2  4  2  1  4  1  1 12 12  1  4  2  1  1  1  1  4  2  1  1  2  0  2  4  4  4  2  1  1  1  4  2 12  1  2  4  1
 0  2  0  0  0  2  6 14  8  8 14  6 12  2  8 10  2  6 12 12  0 10  6  4  2  2 12 12 10  0  6  6  0  4  6  4  2  0  4 14  0 14 14 14  2 14  4 10 10  2 10  2  2  2 10 12  8  6  0 12  4  8  4 12  8
 0  0  2  0  2  2 10  0 12 14  8  2 12  4  2  2  8 12 10 12  4  6  2  6  4  6  6  6 12  2  8  0  2 14  6 12  4  8  0  6 12  6  4 14  2 14  8  6  4 12  4  6 14 12  6 10  8  0 12 10  2  2 10  2  0
 0  0  0  2  2  8 10  2  4  0 14 12  2 12  6 14 14 12 10  0 10  2  0  8 14  8  2 14 12 10  6  8 12 12  2  2 10  6  2  2  0  4  0  6  2 14 14  6  8  0  2  4  4 12  4  6  2  6  2  8  4  4 12  8  4
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  0  8  0  8  0  8  0  8  0  8  0  8  8  0  8  8  0  0  0  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+197x^58+406x^59+671x^60+1078x^61+1470x^62+1522x^63+2105x^64+1802x^65+2111x^66+1600x^67+1285x^68+746x^69+532x^70+362x^71+209x^72+112x^73+94x^74+46x^75+14x^76+4x^77+9x^78+1x^80+2x^81+2x^82+2x^84+1x^86

The gray image is a code over GF(2) with n=520, k=14 and d=232.
This code was found by Heurico 1.16 in 5.02 seconds.