The generator matrix

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

generates a code of length 13 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+79x^8+120x^10+336x^12+240x^14+207x^16+24x^18+16x^20+1x^24

The gray image is a code over GF(2) with n=26, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00957 seconds.