The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^62+305x^64+312x^66+260x^68+206x^70+229x^72+146x^74+155x^76+124x^78+69x^80+48x^82+33x^84+4x^86+4x^88+2x^90

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 0.706 seconds.