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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+74x^83+151x^84+250x^85+317x^86+478x^87+690x^88+696x^89+941x^90+1154x^91+884x^92+714x^93+690x^94+426x^95+257x^96+186x^97+101x^98+70x^99+20x^100+20x^101+19x^102+12x^103+10x^104+6x^105+8x^106+10x^107+3x^108+3x^110+1x^142

The gray image is a code over GF(2) with n=728, k=13 and d=332.
This code was found by Heurico 1.16 in 2.74 seconds.