The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 2 2 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 0 generates a code of length 19 over Z4 who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+113x^8+120x^10+16x^11+768x^12+192x^13+955x^14+832x^15+1363x^16+1856x^17+776x^18+2400x^19+776x^20+1856x^21+1363x^22+832x^23+955x^24+192x^25+768x^26+16x^27+120x^28+113x^30+1x^38 The gray image is a code over GF(2) with n=38, k=14 and d=8. This code was found by Heurico 1.16 in 1.35 seconds.