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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+160x^86+60x^87+425x^88+200x^89+928x^90+676x^91+1540x^92+1592x^93+2682x^94+2912x^95+3710x^96+3544x^97+3499x^98+2784x^99+2592x^100+1608x^101+1464x^102+676x^103+724x^104+224x^105+344x^106+60x^107+152x^108+100x^110+53x^112+29x^114+11x^116+10x^118+7x^120+1x^132

The gray image is a code over GF(2) with n=776, k=15 and d=344.
This code was found by Heurico 1.16 in 39.4 seconds.