The generator matrix 1 1 1 1 2 2 2 1 1 1 1 2 1 1 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 generates a code of length 14 over Z8 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+79x^4+168x^6+845x^8+1376x^10+6755x^12+14320x^14+6755x^16+1376x^18+845x^20+168x^22+79x^24+1x^28 The gray image is a code over GF(2) with n=56, k=15 and d=8. This code was found by Heurico 1.16 in 0.753 seconds.