The generator matrix 1 0 1 1 1 0 1 1 1 1 1 1 2 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 generates a code of length 14 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+74x^4+76x^6+727x^8+732x^10+1024x^11+1708x^12+3072x^13+1688x^14+3072x^15+1279x^16+1024x^17+1304x^18+298x^20+284x^22+9x^24+12x^26 The gray image is a code over GF(2) with n=28, k=14 and d=4. This code was found by Heurico 1.16 in 0.528 seconds.