The generator matrix

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

generates a code of length 70 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+19x^68+32x^69+24x^70+32x^71+10x^72+6x^74+1x^80+1x^84+2x^90

The gray image is a code over GF(2) with n=140, k=7 and d=68.
This code was found by Heurico 1.16 in 0.0562 seconds.