The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+92x^73+565x^74+728x^75+1765x^76+2290x^77+3910x^78+4812x^79+7197x^80+6800x^81+8901x^82+7552x^83+7541x^84+4538x^85+3905x^86+1886x^87+1310x^88+658x^89+506x^90+222x^91+162x^92+76x^93+59x^94+30x^95+7x^96+10x^97+8x^98+2x^99+2x^102+1x^104

The gray image is a code over GF(2) with n=656, k=16 and d=292.
This code was found by Heurico 1.16 in 65 seconds.