The generator matrix

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

generates a code of length 70 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+158x^62+296x^64+284x^66+294x^68+223x^70+191x^72+185x^74+137x^76+105x^78+80x^80+55x^82+21x^84+14x^86+4x^88

The gray image is a code over GF(2) with n=140, k=11 and d=62.
This code was found by Heurico 1.16 in 0.687 seconds.