The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+116x^67+564x^68+906x^69+588x^70+500x^71+324x^72+336x^73+208x^74+192x^75+149x^76+86x^77+65x^78+40x^79+17x^80+2x^82+1x^84+1x^86

The gray image is a code over GF(2) with n=568, k=12 and d=268.
This code was found by Heurico 1.16 in 0.297 seconds.