The generator matrix

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

generates a code of length 80 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+82x^66+136x^67+239x^68+336x^69+394x^70+462x^71+578x^72+594x^73+730x^74+724x^75+703x^76+962x^77+925x^78+882x^79+886x^80+872x^81+908x^82+956x^83+902x^84+810x^85+595x^86+606x^87+535x^88+432x^89+333x^90+220x^91+212x^92+128x^93+114x^94+42x^95+36x^96+22x^97+14x^98+4x^99+4x^100+4x^101+1x^130

The gray image is a code over GF(2) with n=160, k=14 and d=66.
This code was found by Heurico 1.10 in 18 seconds.