The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+32x^69+102x^70+238x^71+328x^72+484x^73+649x^74+750x^75+939x^76+1070x^77+1128x^78+1262x^79+1433x^80+1584x^81+1701x^82+1782x^83+1797x^84+1946x^85+1973x^86+1746x^87+1774x^88+1706x^89+1530x^90+1362x^91+1215x^92+1004x^93+818x^94+694x^95+546x^96+396x^97+231x^98+198x^99+125x^100+90x^101+58x^102+28x^103+26x^104+6x^105+1x^106+4x^107+4x^108+2x^109+4x^112+1x^118

The gray image is a code over GF(2) with n=170, k=15 and d=69.
This code was found by Heurico 1.10 in 154 seconds.