The generator matrix

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

generates a code of length 34 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+78x^28+32x^30+58x^32+192x^34+42x^36+32x^38+66x^40+7x^44+3x^48+1x^60

The gray image is a code over GF(2) with n=68, k=9 and d=28.
This code was found by Heurico 1.16 in 85.4 seconds.