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  1  1  1  1  1  1  1  8  2  1 12  2  0 12  0 12  2  2  1  4  1  2  1  8  2  1  2  1  1  8  2  1  1  8  2  2  2  2  1
 0  2  0  0  0  0  0  0  0 10  6 10 14 10  2  2  8  4 12  8  6  6 10  2  4  6  4  2 10  4  0 12 12 10 12  2 14  0 12 14 12  4  8  2  0  8  6  2 10  2  2  2  4 14 10  4 14  2  6  2  4 12  6  0  6 12  0
 0  0  2  0  0  8 10  6  6  2  6  0  2  0  8 14 10  0  8  2 14 12  4  8  2  8 12  6  2  0  6 10 12 14  6  4 12  0  8  2 12  2  2 10 14 14  2  8  2  2  4  6  0 12  0 14 14  2  4 12 12  2  8  8 14  6 10
 0  0  0  2  0 10 10 10  8  2 14  8  4 10 10  8 14 10  8 12  2  0 14  0 14  6 12  8  2  2  4 12  8  4 10  6  4 10 12  0  2  0 14 12  6  0 10 12  0  0  4  6 12 10  6  6 12 14  8  8 12  2 12 14 10  2  4
 0  0  0  0  2  2  8 10  2 14  8 14  2  2  4 12 12 10  2  6 10  8 12  2 14  2  0 10  4 12  0  4  8  6  8  0  2  4  2  0  0 12  2  6 10 14 14  4  4  2  0  2 14  8  2 12  6  8  8 10  6 12 14 14  4 12  2

generates a code of length 67 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+212x^58+690x^59+910x^60+1662x^61+2335x^62+3428x^63+4716x^64+6672x^65+7761x^66+8710x^67+7769x^68+7104x^69+4697x^70+3416x^71+2117x^72+1398x^73+856x^74+492x^75+313x^76+150x^77+40x^78+64x^79+14x^80+6x^81+2x^82+1x^90

The gray image is a code over GF(2) with n=536, k=16 and d=232.
This code was found by Heurico 1.16 in 71 seconds.