The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+219x^74+230x^76+351x^78+266x^80+226x^82+143x^84+166x^86+150x^88+103x^90+56x^92+59x^94+37x^96+28x^98+11x^100+2x^104

The gray image is a code over GF(2) with n=164, k=11 and d=74.
This code was found by Heurico 1.10 in 38.6 seconds.