The generator matrix

 1  0  1  1  1 14  1  1  0 14  1  1  1  1  2  1  8  1  0  1  1  6  1  1 10  1  1  1  1  4  4  1  8 10  1  1  1  1  4  6  1  1  1  1  1  1  1  4 12  1  8  1  1 10  1  1  1  6  4  1  8  1  1  4  1
 0  1 11  6  1  1  8  3  1  1 14  9  6 13  1  3  1  8  1  3 10  1  0 13  1  9 10  4  7  1  1 14  1  1  0  9  8 12  1  1 10  6 15 14 12  1 11  1  1 12  1  1  6  1  7 12 14  1  1  1  1  0  1  8  8
 0  0 12  0  0  0  0  8 12  4  4  4 12  0 12 12  0  4  4  8  8 12  4 12  4  8  4  8 12  0 12  4  8  8 12 12  4  8  8  8  0  0  4  4  8  0  0  0  8 12  4  0 12 12  0  4  0  4  0  4  4 12  8  0  0
 0  0  0 12  0  0  8  8  8  8  0  8  8  8  8  4  4  4 12  4  4 12  4  4 12 12  0  0  8 12 12  4  8 12 12  4  8 12  8  0  4  8  8  8  4  4  0 12  8  4  8  0  4 12  8  0  0  0  8  4 12  8 12  8 12
 0  0  0  0  4 12 12  8  4  0  0  4  4  4  0  8  8  4  4  0  4  8  8  4  0 12  4  4  8  0  4 12 12  4 12  8  0  8  8  8  0  8 12  0  4  8 12  4  4  0  0  8  4 12 12  8  0  4  0  8  0 12  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+140x^58+200x^59+561x^60+756x^61+1418x^62+1832x^63+2415x^64+2116x^65+2076x^66+1784x^67+1446x^68+828x^69+448x^70+152x^71+101x^72+12x^73+32x^74+27x^76+14x^78+23x^80+1x^84+1x^92

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 3.9 seconds.