The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  1  6  1  1 10  1  1 12  1  1  6  1  1  1  1  1  0 12  1 10  6  1  1  0  1  1 10  1  1  1  1  1  1 12 10  2 12  1  1  1  4  1 12 12  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  1  0  3  5  1  6 15  1 12  9  1 10  5  1  0  6 10 15 12  1  1  3  1  1 12  6  1  9  5  1  9  3  3 12 15 12  1  1 10  1  0  4  5  1 10  1  1  3  0
 0  0  8  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  8  8  8  0  8  8  0  0  0  8  0  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  8  8  8  8  8  0  0  0  8  0  8  0  8  8
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  8  8  0  8  0  0  0  0  8  8  0  0  8  8  8  8  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8  8  0  8  8  8  8  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  0  0  8  0  0  8  8  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  0  8  0  8  0  8  0  0  0  8  8  8  8  0  8  8  8  0  8  0  8  8  8
 0  0  0  0  0  8  0  8  8  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  8  0  0  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  0  0  8  8  0  8  0  8  0  0  8  8  0
 0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  8  0  8  8  8  8  0  8  8  8  8  8  8  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  0  0  0

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+25x^54+94x^55+185x^56+558x^57+477x^58+1190x^59+727x^60+1710x^61+746x^62+1178x^63+467x^64+538x^65+148x^66+98x^67+22x^68+10x^69+3x^70+1x^72+3x^74+3x^76+2x^78+2x^80+4x^82

The gray image is a code over GF(2) with n=488, k=13 and d=216.
This code was found by Heurico 1.16 in 0.944 seconds.