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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+198x^82+420x^83+780x^84+1148x^85+1315x^86+1746x^87+2583x^88+3030x^89+3513x^90+3812x^91+3440x^92+3070x^93+2333x^94+1780x^95+1140x^96+840x^97+621x^98+340x^99+280x^100+106x^101+132x^102+52x^103+27x^104+30x^105+14x^106+8x^107+4x^108+2x^111+2x^114+1x^128

The gray image is a code over GF(2) with n=728, k=15 and d=328.
This code was found by Heurico 1.16 in 28.8 seconds.