The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+12x^70+24x^71+9x^72+4x^74+8x^75+6x^76

The gray image is a code over GF(2) with n=142, k=6 and d=70.
This code was found by Heurico 1.16 in 0.0545 seconds.