The generator matrix

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

generates a code of length 67 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+8x^66+16x^67+14x^68+16x^69+8x^70+1x^72

The gray image is a code over GF(2) with n=134, k=6 and d=66.
This code was found by Heurico 1.16 in 0.0457 seconds.