The generator matrix

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

generates a code of length 34 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+153x^30+71x^32+136x^34+28x^36+58x^38+24x^40+32x^42+4x^44+5x^46

The gray image is a code over GF(2) with n=68, k=9 and d=30.
This code was found by Heurico 1.16 in 3.86 seconds.