The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+20x^69+89x^70+138x^71+219x^72+294x^73+323x^74+362x^75+388x^76+434x^77+427x^78+418x^79+414x^80+426x^81+413x^82+442x^83+448x^84+416x^85+434x^86+378x^87+353x^88+304x^89+243x^90+216x^91+162x^92+112x^93+89x^94+80x^95+53x^96+40x^97+29x^98+12x^99+10x^100+2x^101+1x^102+2x^103

The gray image is a code over GF(2) with n=164, k=13 and d=69.
This code was found by Heurico 1.10 in 4.9 seconds.