The generator matrix

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

generates a code of length 70 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+220x^64+100x^66+240x^68+86x^70+146x^72+32x^74+81x^76+22x^78+49x^80+10x^82+22x^84+4x^86+8x^88+2x^90+1x^92

The gray image is a code over GF(2) with n=140, k=10 and d=64.
This code was found by Heurico 1.10 in 70.7 seconds.