The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  0  1  2  1  8  0  2  1  0  2  2  1  0  8  2  1  0  8  2  1  0  1 12  4  4  2 12  1  2  2  1  1  1  1  1  0  1  2  2  1  4  1  1
 0  2  0  0  0  2  6 14  0  8  0  2  6 12 14  2  8 14 14  4 12  6 10 12 10  0  8  6  6  4  4 10  2  6  2  0  0  2  6  2  4  6 12  8  2  2  2  2  8  2 12  2  4  6  0  0  2 14  2  4  6  2  2  2 12  2 12  8 14 12 10  0  4  4  2  6  8  0 14  4  4  4
 0  0  2  0  2  2  2  0  4 14  8  0  8 14 10 10  2  6  4  0  4  8 12  6 10  4  4  8 10 14  2  0 14  4 14 14 10 14  8  4  4  6 12  2  6 10 12 14 14  6 14  0  0  4  0  2 12  6  0  2  2  8 10 10  0  2  6  8 14  0 10 14  2  4  8 12  8  0  4  2 12  0
 0  0  0  2  2  0  2 10  8  2 14 14  4 12 14 12  6  4  2  6  0  8  8  8  2  6  4  6  2 10  8 10  0  4  4  4  6 14  6  2  2  6  0  4  8  8 10 14  0  4 10  2  2  4  8 14  4 14  4  2 12  0 10 12  6  6  8 10  0 12  2 14  0 10  8  8 14  2 10 14  0  2
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  0  0  8  8  8  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  8  8  8  0  0  8  8  8  0  8  8  8  8  8  0  0  0  8  0  0  0  8  0  8  0  8  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  8  8  8  8  8  8  0  0  0  0  0  0  8  0  8  8  0  0  8  0  0  8  8  0  0  0  8  8  0  8  0  8  0  8  0  8  8  8  8  8  0  8  8  8  8  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+124x^73+412x^74+638x^75+962x^76+1752x^77+1660x^78+2914x^79+2419x^80+4142x^81+2952x^82+4198x^83+2588x^84+2902x^85+1545x^86+1328x^87+748x^88+574x^89+375x^90+254x^91+120x^92+100x^93+24x^94+8x^95+8x^96+4x^97+4x^98+2x^99+2x^100+2x^101+3x^102+2x^103+1x^106

The gray image is a code over GF(2) with n=656, k=15 and d=292.
This code was found by Heurico 1.16 in 24.9 seconds.