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

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

Homogenous weight enumerator: w(x)=1x^0+9x^66+8x^67+22x^68+48x^69+21x^70+8x^71+9x^72+1x^102+1x^106

The gray image is a code over GF(2) with n=138, k=7 and d=66.
This code was found by Heurico 1.16 in 0.0539 seconds.