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

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

Homogenous weight enumerator: w(x)=1x^0+122x^73+404x^74+672x^75+925x^76+1286x^77+1940x^78+2558x^79+3243x^80+3624x^81+3484x^82+3734x^83+3297x^84+2352x^85+1903x^86+1126x^87+632x^88+656x^89+355x^90+180x^91+107x^92+46x^93+69x^94+16x^95+16x^96+10x^97+4x^98+2x^99+3x^100+1x^114

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 25.1 seconds.