The generator matrix 1 0 0 0 0 0 0 1 1 1 1 0 1 1 2 0 2 0 1 2 1 0 1 1 1 0 1 1 1 2 1 0 0 1 0 1 0 0 0 0 0 2 1 3 1 1 0 2 1 2 1 2 3 0 1 1 2 0 0 1 3 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 2 1 1 3 1 3 1 2 1 1 1 3 0 0 2 3 1 0 2 3 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 1 3 3 3 3 2 3 1 1 3 1 2 1 1 0 0 0 0 0 1 0 0 1 3 2 2 3 1 0 3 1 0 0 3 2 1 2 0 3 3 0 0 2 1 0 2 0 2 0 0 0 0 0 0 1 0 1 2 3 0 1 2 2 3 2 0 1 0 3 3 1 2 0 2 3 0 1 3 1 3 0 2 2 0 0 0 0 0 0 1 1 0 0 3 3 2 3 3 1 1 2 2 1 0 2 1 1 3 3 2 2 3 1 3 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+111x^24+152x^25+328x^26+426x^27+595x^28+758x^29+967x^30+1204x^31+1319x^32+1536x^33+1370x^34+1584x^35+1512x^36+1282x^37+1045x^38+714x^39+605x^40+334x^41+230x^42+156x^43+77x^44+32x^45+27x^46+10x^47+4x^48+2x^49+2x^51+1x^54 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 30.4 seconds.