The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^14+45x^16+96x^17+32x^21+30x^22+18x^24+1x^30

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 0.00311 seconds.