The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+298x^84+224x^85+528x^86+240x^87+506x^88+608x^89+488x^90+256x^91+411x^92+192x^93+224x^94+16x^95+91x^96+8x^98+2x^100+2x^120+1x^124

The gray image is a code over GF(2) with n=712, k=12 and d=336.
This code was found by Heurico 1.16 in 0.801 seconds.