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

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

Homogenous weight enumerator: w(x)=1x^0+41x^58+210x^59+554x^60+862x^61+1280x^62+1576x^63+2780x^64+2596x^65+5040x^66+3314x^67+4742x^68+2736x^69+2610x^70+1556x^71+1205x^72+660x^73+458x^74+250x^75+179x^76+50x^77+34x^78+4x^79+6x^80+8x^81+8x^82+2x^83+5x^84+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 19 seconds.