The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  0  0  0  1  1  1  1  2  2  2  2  0  0  0  2  1  1  1
 0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  0  2
 0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2

generates a code of length 33 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+3x^34+8x^35+3x^36+1x^38

The gray image is a code over GF(2) with n=66, k=4 and d=34.
This code was found by Heurico 1.16 in 0.00494 seconds.