The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+215x^74+268x^76+302x^78+248x^80+258x^82+162x^84+169x^86+111x^88+101x^90+78x^92+74x^94+23x^96+26x^98+4x^100+7x^102+1x^104

The gray image is a code over GF(2) with n=164, k=11 and d=74.
This code was found by Heurico 1.16 in 42.5 seconds.