The generator matrix 1 1 1 1 2 2 1 1 1 1 1 1 2 1 1 1 0 2 0 6 2 2 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 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 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 generates a code of length 16 over Z8 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+74x^4+64x^6+719x^8+460x^10+1492x^12+1024x^13+2780x^14+3072x^15+13231x^16+3072x^17+3352x^18+1024x^19+634x^20+1240x^22+225x^24+284x^26+8x^28+12x^30 The gray image is a code over GF(2) with n=64, k=15 and d=8. This code was found by Heurico 1.16 in 0.851 seconds.