The generator matrix 1 0 0 0 0 0 1 1 1 2 1 0 1 1 1 1 2 1 1 0 2 1 2 2 1 1 1 1 2 0 0 0 2 1 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 3 1 3 3 1 1 3 1 2 0 1 3 2 1 2 0 1 1 2 0 0 1 0 0 0 0 0 3 0 3 1 3 3 1 2 2 1 2 3 0 2 2 1 2 3 3 3 0 2 1 0 0 1 0 0 0 1 0 0 0 1 1 1 3 2 0 0 1 1 0 3 2 3 3 3 3 1 1 2 1 1 3 1 2 2 2 2 0 0 0 0 1 0 1 1 0 3 1 1 0 2 3 0 1 0 2 3 0 1 1 2 1 0 0 0 2 3 3 2 0 3 0 0 0 0 0 1 1 0 1 1 1 2 1 0 2 3 1 1 1 2 3 2 1 2 1 2 3 0 2 0 1 1 0 3 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 generates a code of length 34 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+113x^24+158x^25+289x^26+474x^27+582x^28+776x^29+949x^30+1172x^31+1339x^32+1452x^33+1550x^34+1564x^35+1425x^36+1280x^37+1050x^38+752x^39+541x^40+390x^41+237x^42+122x^43+88x^44+40x^45+17x^46+12x^47+6x^48+4x^50+1x^52 The gray image is a code over GF(2) with n=68, k=14 and d=24. This code was found by Heurico 1.16 in 25.8 seconds.