The generator matrix

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

generates a code of length 35 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+136x^30+347x^32+136x^34+32x^36+88x^38+196x^40+88x^42

The gray image is a code over GF(2) with n=70, k=10 and d=30.
This code was found by Heurico 1.16 in 3.43 seconds.