The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+36x^81+206x^82+280x^83+735x^84+1076x^85+1637x^86+1414x^87+2058x^88+1670x^89+2063x^90+1366x^91+1604x^92+1014x^93+703x^94+232x^95+165x^96+22x^97+7x^98+22x^99+8x^100+12x^101+12x^102+14x^103+2x^104+4x^105+12x^106+6x^109+1x^116+2x^120

The gray image is a code over GF(2) with n=712, k=14 and d=324.
This code was found by Heurico 1.16 in 5.64 seconds.