The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+6x^76+242x^77+208x^78+638x^79+156x^80+734x^81+315x^82+652x^83+148x^84+514x^85+156x^86+224x^87+6x^88+42x^89+21x^90+20x^91+2x^92+4x^93+2x^94+2x^95+1x^96+1x^110+1x^134

The gray image is a code over GF(2) with n=656, k=12 and d=304.
This code was found by Heurico 1.16 in 0.579 seconds.