The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  0  0  0  1  1  1  1  1  2  2  2  0  0  0  1  1  1  1  1  2  0  2  2  0  2  0  2  2  0  2  0  2  0  2  1  1  1  1  1  1  1
 0  2  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  2  2  2  2  0  2  0  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2
 0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  0  2  2  2  0  0  2  2  2  2  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  0  0  2  2

generates a code of length 66 over Z4 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+8x^69+3x^70+3x^72+1x^78

The gray image is a code over GF(2) with n=132, k=4 and d=69.
This code was found by Heurico 1.16 in 0.0632 seconds.