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  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1  2  2  4  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0  4  4  8  8  4  8  4  8 12  8  4  8  4  8  4  0 12  8  4  8  4  8  4  0 12  8  4  8  4  8  4  0 12  8  4  8  4  8  4 12 12 12  4  0 12  0 12  0  8 12  4  0 12  0  0 12  8  0  8  4 12  0  8  0
 0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  0  0  0  0  8  8  0  8  0  8  0  0  8  8  8  8  0  8  0  8  0  0  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  0  8  8  0  8  0  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  0  0  0  0  0  0  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  8  0  8  0  8  0  8  8  0  8  0  8  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  8  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  8  0  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  8  0  0  0  0  8  8  8  8  0  8  8  0  0  0  0  0  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+22x^84+40x^85+22x^86+80x^87+150x^88+400x^89+148x^90+80x^91+18x^92+40x^93+17x^94+1x^96+3x^98+1x^110+1x^162

The gray image is a code over GF(2) with n=712, k=10 and d=336.
This code was found by Heurico 1.16 in 0.692 seconds.