The generator matrix

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

generates a code of length 67 over Z4 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+2x^70+8x^71+3x^72+2x^74

The gray image is a code over GF(2) with n=134, k=4 and d=70.
This code was found by Heurico 1.16 in 0.0781 seconds.