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

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

Homogenous weight enumerator: w(x)=1x^0+244x^30+67x^32+316x^34+16x^36+212x^38+44x^40+116x^42+8x^46

The gray image is a code over GF(2) with n=70, k=10 and d=30.
This code was found by Heurico 1.10 in 6.98 seconds.