The generator matrix

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

generates a code of length 83 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+62x^68+24x^69+114x^70+36x^71+184x^72+136x^73+266x^74+212x^75+305x^76+386x^77+350x^78+416x^79+384x^80+542x^81+439x^82+568x^83+423x^84+540x^85+363x^86+500x^87+310x^88+308x^89+295x^90+244x^91+229x^92+106x^93+139x^94+72x^95+95x^96+6x^97+53x^98+31x^100+23x^102+18x^104+3x^106+6x^108+3x^110

The gray image is a code over GF(2) with n=166, k=13 and d=68.
This code was found by Heurico 1.16 in 17.3 seconds.