The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+148x^74+404x^75+685x^76+1308x^77+1888x^78+2838x^79+3680x^80+3854x^81+3856x^82+3624x^83+3520x^84+2642x^85+1716x^86+1190x^87+575x^88+348x^89+198x^90+98x^91+70x^92+64x^93+28x^94+4x^95+10x^96+6x^97+4x^98+2x^99+1x^100+2x^101+2x^104+2x^106

The gray image is a code over GF(2) with n=656, k=15 and d=296.
This code was found by Heurico 1.16 in 18 seconds.