The generator matrix

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

generates a code of length 70 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+131x^60+362x^62+459x^64+476x^66+480x^68+476x^70+431x^72+370x^74+348x^76+276x^78+164x^80+74x^82+30x^84+14x^86+1x^88+3x^92

The gray image is a code over GF(2) with n=140, k=12 and d=60.
This code was found by Heurico 1.10 in 0.891 seconds.