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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+324x^72+676x^74+1028x^76+1244x^78+1536x^80+1632x^82+1800x^84+1742x^86+1690x^88+1574x^90+1193x^92+946x^94+489x^96+334x^98+120x^100+44x^102+7x^104+3x^108+1x^136

The gray image is a code over GF(2) with n=170, k=14 and d=72.
This code was found by Heurico 1.10 in 108 seconds.