The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+224x^74+676x^75+1637x^76+2748x^77+3920x^78+5504x^79+6334x^80+8020x^81+7484x^82+8168x^83+6941x^84+5368x^85+3384x^86+2440x^87+1310x^88+692x^89+328x^90+132x^91+92x^92+36x^93+48x^94+8x^95+22x^96+4x^98+14x^100+1x^104

The gray image is a code over GF(2) with n=656, k=16 and d=296.
This code was found by Heurico 1.16 in 53.4 seconds.