The generator matrix 1 1 1 1 2 1 1 0 1 1 2 2 1 1 2 1 1 1 0 2 12 6 6 0 6 2 12 10 6 6 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 0 generates a code of length 18 over Z16 who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+85x^8+112x^10+544x^12+64x^13+572x^14+1344x^15+1611x^16+6784x^17+10576x^18+6784x^19+1464x^20+1344x^21+776x^22+64x^23+383x^24+224x^26+8x^28+28x^30 The gray image is a code over GF(2) with n=144, k=15 and d=32. This code was found by Heurico 1.16 in 0.593 seconds.