The generator matrix

 1  0  1  1  1 14  1  2  1  8  1  1  4  1  1  1  1 12  1  1  1  1  0 12  6 10  6  1  1  1  1  0 14  1  1 14  1  1 10  1  1  8 10  1  1  1  1  1  1  6 14  8  2  1  1  1  1  1  1  4  1  1  1
 0  1 11  6 13  1 12  1  7  1 10  1  1  8  3 14  5  1 15  4  2  9  1  1  1  1  1  8 11  1  6  1  1  0 14  1  3  5  1  8  3  1  1  7  9  2  9 14 12  1  1  1 12 11 13 13  5 13  1  8 13  1 11
 0  0 12  0  4  4  8  4  4 12  8 12 12  4  0 12  8  8  0  4 12  8  0  8  0  0  0 12 12 12  0 12  4  0 12  0  8  8 12  0 12  4  8  8 12 12  8  0 12  0 12 12  4  4 12  4 12 12  4  4  0  8  4
 0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  0  8  0  8  8  0  0  8  0  8  8  8  8  0  0  0  0  8  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  0  0  8  8  0  0
 0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  8  0

generates a code of length 63 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+119x^58+340x^59+329x^60+508x^61+486x^62+608x^63+428x^64+584x^65+277x^66+220x^67+133x^68+28x^69+6x^70+8x^71+3x^72+6x^74+8x^75+2x^76+1x^82+1x^90

The gray image is a code over GF(2) with n=504, k=12 and d=232.
This code was found by Heurico 1.16 in 0.385 seconds.