The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^66+86x^68+56x^70+33x^72+18x^74+6x^76+2x^78+7x^80+4x^82+2x^84+2x^86+1x^96

The gray image is a code over GF(2) with n=140, k=8 and d=66.
This code was found by Heurico 1.10 in 0 seconds.