The generator matrix

1 1 0 0 1 2 1 1 2 2 1 2 0 1 1 1 1 1 2 2 1 1 1 0 0 2 1 1 2 1 2 1 1 1 0 1 2 0 0 2 2 1 1 1 1 1 1 2 0 1 1 1 0 1 1 2 2 2 0 1 1 1 1 1 1 0 0 1 1 0 0 1 2 0 2 1 1 0 2 0 0 0 1 2
2 0 0 1 1 1 3 1 1 1 1 2 0 0 2 1 3 0 1 0 1 2 0 1 0 2 3 1 1 2 1 3 2 0 1 0 1 0 1 1 2 3 2 3 0 2 0 0 0 1 3 1 2 3 2 1 0 1 1 1 2 0 3 1 3 1 0 0 0 1 2 2 2 1 1 3 3 2 0 1 1 2 2 1
3 2 1 0 0 3 1 1 1 2 2 1 0 3 2 1 3 0 3 0 0 3 1 1 1 1 1 2 2 3 0 2 2 0 0 1 1 2 3 2 1 3 0 1 3 1 3 1 1 0 2 0 1 0 3 0 1 0 0 0 1 2 0 3 2 0 1 3 3 2 2 3 1 2 0 0 2 1 1 1 3 1 2 2
0 0 0 0 0 0 0 1 1 3 3 3 1 3 1 0 1 0 2 1 1 0 1 3 2 3 2 2 0 2 1 2 1 2 0 3 0 1 1 1 1 2 3 1 3 2 0 2 1 2 0 3 1 1 3 2 3 3 2 1 1 1 2 2 3 1 2 1 1 2 1 1 1 2 0 1 1 2 0 1 1 0 1 1
2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2

generates a code of length 84 over Z4 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+46x^79+94x^80+56x^81+37x^82+54x^83+50x^84+50x^85+14x^86+16x^87+30x^88+8x^89+8x^90+8x^91+2x^92+4x^93+2x^94+2x^95+6x^96+6x^97+3x^98+2x^99+2x^100+4x^104+2x^105+2x^108+2x^109+1x^112

The gray image is a code over GF(2) with n=168, k=9 and d=79.
This code was found by an older version of Heurico in 0 seconds.