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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+54x^59+241x^60+352x^61+703x^62+838x^63+1327x^64+1604x^65+2177x^66+2102x^67+2095x^68+1582x^69+1235x^70+738x^71+601x^72+250x^73+213x^74+84x^75+72x^76+50x^77+22x^78+24x^79+14x^80+2x^81+2x^82+1x^96

The gray image is a code over GF(2) with n=536, k=14 and d=236.
This code was found by Heurico 1.16 in 5.65 seconds.