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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+92x^75+178x^76+508x^77+373x^78+866x^79+617x^80+1322x^81+805x^82+1022x^83+596x^84+700x^85+306x^86+342x^87+115x^88+152x^89+50x^90+66x^91+25x^92+32x^93+1x^94+8x^95+2x^96+6x^97+1x^98+4x^99+1x^104+1x^124

The gray image is a code over GF(2) with n=656, k=13 and d=300.
This code was found by Heurico 1.16 in 2.07 seconds.