The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+34x^14+77x^16+62x^18+32x^20+30x^22+18x^24+2x^26

The gray image is a code over GF(2) with n=36, k=8 and d=14.
This code was found by Heurico 1.16 in 0.00257 seconds.