The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+14x^66+82x^68+72x^70+21x^72+14x^74+18x^76+28x^78+5x^80+1x^136

The gray image is a code over GF(2) with n=142, k=8 and d=66.
This code was found by Heurico 1.16 in 0.0704 seconds.