The generator matrix

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

generates a code of length 83 over Z4 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+80x^69+155x^70+228x^71+325x^72+362x^73+496x^74+538x^75+648x^76+734x^77+750x^78+842x^79+847x^80+826x^81+906x^82+874x^83+895x^84+970x^85+874x^86+894x^87+810x^88+698x^89+573x^90+506x^91+389x^92+334x^93+248x^94+162x^95+146x^96+82x^97+76x^98+50x^99+25x^100+10x^101+11x^102+2x^103+7x^104+5x^106+3x^108+2x^110

The gray image is a code over GF(2) with n=166, k=14 and d=69.
This code was found by Heurico 1.16 in 97.6 seconds.