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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+241x^84+52x^86+32x^87+477x^88+192x^89+784x^90+576x^91+907x^92+192x^93+286x^94+32x^95+169x^96+22x^98+85x^100+6x^102+25x^104+2x^106+14x^108+1x^156

The gray image is a code over GF(2) with n=728, k=12 and d=336.
This code was found by Heurico 1.16 in 11.1 seconds.