The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^8+60x^9+76x^10+116x^11+124x^12+152x^13+108x^14+136x^15+101x^16+44x^17+36x^18+4x^19+4x^20+4x^22

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 0.00825 seconds.