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

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

Homogenous weight enumerator: w(x)=1x^0+68x^84+72x^85+82x^86+32x^87+488x^88+560x^89+500x^90+32x^91+72x^92+72x^93+58x^94+10x^96+1x^176

The gray image is a code over GF(2) with n=712, k=11 and d=336.
This code was found by Heurico 1.16 in 0.776 seconds.