The generator matrix

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

generates a code of length 13 over Z4 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+40x^9+58x^10+52x^11+81x^12+64x^13+57x^14+72x^15+45x^16+24x^17+12x^18+4x^19+1x^20+1x^22

The gray image is a code over GF(2) with n=26, k=9 and d=9.
This code was found by Heurico 1.16 in 0.00341 seconds.