The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^58+114x^59+305x^60+492x^61+1041x^62+1666x^63+2548x^64+3724x^65+4167x^66+4650x^67+4379x^68+3440x^69+2641x^70+1634x^71+867x^72+488x^73+236x^74+108x^75+80x^76+36x^77+32x^78+20x^79+12x^80+12x^81+12x^82+2x^86+1x^90

The gray image is a code over GF(2) with n=536, k=15 and d=232.
This code was found by Heurico 1.16 in 14.8 seconds.