The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^72+138x^74+237x^76+352x^78+400x^80+444x^82+498x^84+460x^86+407x^88+377x^90+302x^92+204x^94+102x^96+43x^98+28x^100+20x^102+15x^104+5x^106+5x^108+4x^110+1x^112+1x^114+2x^116

The gray image is a code over GF(2) with n=170, k=12 and d=72.
This code was found by Heurico 1.16 in 4.55 seconds.