The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+28x^78+390x^79+264x^80+376x^81+161x^82+306x^83+99x^84+242x^85+44x^86+76x^87+22x^88+14x^89+14x^90+4x^91+5x^92+1x^106+1x^112

The gray image is a code over GF(2) with n=656, k=11 and d=312.
This code was found by Heurico 1.16 in 0.453 seconds.