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

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

Homogenous weight enumerator: w(x)=1x^0+205x^84+4x^85+100x^86+136x^87+335x^88+524x^89+466x^90+752x^91+442x^92+476x^93+212x^94+136x^95+117x^96+20x^97+24x^98+73x^100+24x^102+32x^104+6x^106+8x^108+2x^112+1x^152

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 94.3 seconds.