The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+33x^66+78x^67+177x^68+226x^69+320x^70+344x^71+473x^72+558x^73+631x^74+636x^75+724x^76+786x^77+883x^78+970x^79+890x^80+944x^81+864x^82+986x^83+872x^84+848x^85+769x^86+716x^87+621x^88+510x^89+408x^90+280x^91+248x^92+186x^93+141x^94+82x^95+72x^96+36x^97+31x^98+4x^99+11x^100+2x^101+15x^102+6x^104+1x^106+1x^112

The gray image is a code over GF(2) with n=162, k=14 and d=66.
This code was found by Heurico 1.16 in 50.7 seconds.