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

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

Homogenous weight enumerator: w(x)=1x^0+68x^69+140x^70+250x^71+318x^72+392x^73+503x^74+574x^75+645x^76+650x^77+765x^78+814x^79+855x^80+908x^81+926x^82+876x^83+877x^84+928x^85+800x^86+848x^87+838x^88+698x^89+627x^90+492x^91+387x^92+356x^93+257x^94+188x^95+154x^96+90x^97+71x^98+50x^99+19x^100+6x^101+6x^102+4x^103+2x^104+1x^130

The gray image is a code over GF(2) with n=166, k=14 and d=69.
This code was found by Heurico 1.10 in 18.9 seconds.