The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+90x^76+250x^78+308x^80+280x^82+235x^84+180x^86+208x^88+138x^90+130x^92+52x^94+69x^96+42x^98+33x^100+14x^102+14x^104+4x^106

The gray image is a code over GF(2) with n=170, k=11 and d=76.
This code was found by Heurico 1.16 in 0.835 seconds.