The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+160x^72+306x^74+506x^76+586x^78+801x^80+905x^82+868x^84+941x^86+868x^88+749x^90+574x^92+421x^94+233x^96+139x^98+64x^100+31x^102+16x^104+13x^106+4x^108+5x^110+1x^112

The gray image is a code over GF(2) with n=170, k=13 and d=72.
This code was found by Heurico 1.16 in 15.8 seconds.