The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+98x^78+179x^80+202x^82+128x^84+120x^86+102x^88+36x^90+45x^92+26x^94+33x^96+14x^98+13x^100+12x^102+9x^104+4x^106+2x^108

The gray image is a code over GF(2) with n=170, k=10 and d=78.
This code was found by Heurico 1.10 in 0.078 seconds.