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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+40x^89+94x^90+82x^91+78x^92+170x^93+187x^94+540x^95+175x^96+1482x^97+210x^98+534x^99+131x^100+120x^101+65x^102+22x^103+20x^104+26x^105+25x^106+24x^107+6x^108+12x^109+16x^110+14x^111+4x^112+4x^113+11x^114+2x^117+1x^164

The gray image is a code over GF(2) with n=776, k=12 and d=356.
This code was found by Heurico 1.16 in 1.44 seconds.