The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+93x^76+280x^78+278x^80+288x^82+237x^84+180x^86+165x^88+128x^90+137x^92+94x^94+69x^96+38x^98+29x^100+14x^102+15x^104+2x^106

The gray image is a code over GF(2) with n=170, k=11 and d=76.
This code was found by Heurico 1.10 in 0.297 seconds.