The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+145x^58+176x^59+553x^60+336x^61+623x^62+480x^63+581x^64+416x^65+478x^66+112x^67+137x^68+16x^69+32x^70+5x^72+1x^78+1x^80+2x^84+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 0.375 seconds.