The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+210x^86+196x^87+570x^88+440x^89+658x^90+376x^91+460x^92+268x^93+339x^94+220x^95+216x^96+24x^97+66x^98+8x^99+21x^100+4x^101+5x^102+6x^104+2x^106+4x^108+1x^120+1x^132

The gray image is a code over GF(2) with n=728, k=12 and d=344.
This code was found by Heurico 1.16 in 1.1 seconds.