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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+46x^82+68x^83+258x^84+120x^85+398x^86+224x^87+750x^88+512x^89+567x^90+424x^91+287x^92+120x^93+113x^94+42x^95+101x^96+10x^97+27x^98+8x^99+10x^100+4x^101+1x^102+2x^103+2x^105+1x^156

The gray image is a code over GF(2) with n=712, k=12 and d=328.
This code was found by Heurico 1.16 in 1.4 seconds.