The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^66+41x^68+59x^70+37x^72+21x^74+15x^76+12x^78+2x^80+1x^126

The gray image is a code over GF(2) with n=140, k=8 and d=66.
This code was found by Heurico 1.16 in 4.5 seconds.