The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+77x^12+218x^14+206x^16+236x^18+217x^20+58x^22+9x^24+2x^28

The gray image is a code over GF(2) with n=34, k=10 and d=12.
This code was found by Heurico 1.16 in 0.0184 seconds.