The generator matrix

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

generates a code of length 14 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+46x^8+16x^9+49x^10+80x^11+108x^12+160x^13+108x^14+160x^15+89x^16+80x^17+86x^18+16x^19+12x^20+12x^22+1x^26

The gray image is a code over GF(2) with n=28, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00695 seconds.