The generator matrix

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

generates a code of length 83 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+103x^76+156x^78+202x^80+156x^82+116x^84+86x^86+56x^88+44x^90+26x^92+22x^94+22x^96+10x^98+11x^100+2x^102+7x^104+2x^106+2x^110

The gray image is a code over GF(2) with n=166, k=10 and d=76.
This code was found by Heurico 1.16 in 0.285 seconds.