The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+8x^34+44x^36+8x^38+1x^40+1x^48+1x^56

The gray image is a code over GF(2) with n=72, k=6 and d=34.
This code was found by Heurico 1.16 in 0.00502 seconds.