The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+12x^70+3x^72

The gray image is a code over GF(2) with n=132, k=4 and d=70.
This code was found by Heurico 1.16 in 0.0582 seconds.