The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+54x^71+155x^72+288x^73+333x^74+368x^75+487x^76+614x^77+683x^78+698x^79+762x^80+714x^81+827x^82+888x^83+850x^84+934x^85+895x^86+920x^87+848x^88+844x^89+788x^90+630x^91+625x^92+512x^93+412x^94+348x^95+282x^96+210x^97+133x^98+114x^99+81x^100+42x^101+22x^102+12x^103+4x^104+2x^106+1x^108+2x^109+1x^130

The gray image is a code over GF(2) with n=170, k=14 and d=71.
This code was found by Heurico 1.10 in 19.4 seconds.