The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 0 2 1 1 1 1 1 1 1 1 0 1 0 1 1 2 1 1 1 0 1 0 1 0 1 1 0 0 1 3 1 1 0 2 1 1 1 2 3 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 1 1 1 0 1 0 1 3 2 0 1 1 1 0 2 1 3 1 1 1 3 3 0 1 0 1 1 3 0 1 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 generates a code of length 34 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+64x^24+24x^25+110x^26+104x^27+202x^28+208x^29+227x^30+304x^31+275x^32+384x^33+272x^34+384x^35+276x^36+304x^37+292x^38+208x^39+172x^40+104x^41+94x^42+24x^43+34x^44+24x^46+4x^50+1x^62 The gray image is a code over GF(2) with n=68, k=12 and d=24. This code was found by Heurico 1.16 in 0.865 seconds.