The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+158x^68+66x^70+509x^72+378x^74+820x^76+670x^78+1125x^80+830x^82+1093x^84+686x^86+795x^88+390x^90+373x^92+50x^94+172x^96+2x^98+49x^100+20x^104+3x^108+2x^112

The gray image is a code over GF(2) with n=164, k=13 and d=68.
This code was found by Heurico 1.16 in 17.3 seconds.