The generator matrix

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

generates a code of length 83 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+108x^66+142x^67+352x^68+458x^69+732x^70+878x^71+1199x^72+1286x^73+1666x^74+1888x^75+2213x^76+2460x^77+2894x^78+3240x^79+3397x^80+3878x^81+3659x^82+4114x^83+3899x^84+3898x^85+3552x^86+3318x^87+2972x^88+2804x^89+2246x^90+1900x^91+1667x^92+1180x^93+1026x^94+728x^95+634x^96+362x^97+316x^98+160x^99+157x^100+52x^101+44x^102+12x^103+20x^104+6x^105+10x^106+4x^107+2x^114+1x^120+1x^130

The gray image is a code over GF(2) with n=166, k=16 and d=66.
This code was found by Heurico 1.10 in 650 seconds.