The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+272x^76+352x^80+179x^84+116x^88+50x^92+31x^96+19x^100+4x^104

The gray image is a code over GF(2) with n=164, k=10 and d=76.
This code was found by Heurico 1.16 in 17.6 seconds.