The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+224x^68+1310x^69+3070x^70+5148x^71+7650x^72+10922x^73+13386x^74+15836x^75+16305x^76+15880x^77+13519x^78+10968x^79+7479x^80+4772x^81+2406x^82+1228x^83+561x^84+194x^85+138x^86+36x^87+13x^88+10x^89+8x^90+6x^92+1x^94+1x^96

The gray image is a code over GF(2) with n=608, k=17 and d=272.
This code was found by Heurico 1.16 in 200 seconds.