The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+68x^81+92x^82+226x^83+332x^84+868x^85+971x^86+2302x^87+2246x^88+3800x^89+3093x^90+4982x^91+3022x^92+3832x^93+2200x^94+2208x^95+968x^96+856x^97+246x^98+234x^99+50x^100+32x^101+38x^102+18x^103+20x^104+12x^105+9x^106+14x^107+10x^108+4x^109+5x^110+5x^112+2x^116+1x^118+1x^126

The gray image is a code over GF(2) with n=728, k=15 and d=324.
This code was found by Heurico 1.16 in 23.8 seconds.