The generator matrix

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

generates a code of length 68 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+16x^66+32x^67+27x^68+32x^69+14x^70+2x^72+1x^80+1x^84+2x^86

The gray image is a code over GF(2) with n=136, k=7 and d=66.
This code was found by Heurico 1.16 in 0.0505 seconds.