The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 2 1 0 1 1 1 1 1 1 1 1 0 2 0 0 2 1 1 0 0 0 2 2 1 1 0 1 0 0 0 0 0 0 0 2 0 2 0 0 0 1 1 3 2 1 1 3 0 0 1 2 0 1 2 1 1 1 2 1 1 0 0 0 0 1 0 0 0 0 0 0 2 1 1 1 1 2 3 2 1 0 1 1 0 3 1 1 1 0 3 0 3 2 3 2 2 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 2 1 1 2 1 3 3 1 0 0 2 2 3 1 2 2 0 2 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 3 0 1 0 0 2 1 1 1 3 3 0 1 2 3 1 1 1 3 2 1 0 0 1 3 0 0 0 0 0 0 0 1 0 0 1 1 1 2 0 2 3 1 3 0 0 2 3 3 0 3 2 2 0 0 0 0 3 3 1 2 3 3 0 0 0 0 0 0 0 1 0 1 1 2 0 3 1 2 0 2 1 2 3 1 1 2 3 0 0 2 1 1 0 2 2 3 0 1 2 0 0 0 0 0 0 0 0 1 2 1 3 3 3 0 3 0 0 0 0 3 2 2 2 0 1 1 1 1 1 2 2 0 3 1 0 0 0 generates a code of length 37 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+53x^24+120x^25+350x^26+500x^27+911x^28+1152x^29+1654x^30+2368x^31+3110x^32+3856x^33+4454x^34+5374x^35+5713x^36+6034x^37+5797x^38+5334x^39+4699x^40+4028x^41+3178x^42+2300x^43+1717x^44+1032x^45+744x^46+472x^47+297x^48+156x^49+74x^50+34x^51+11x^52+6x^53+5x^54+2x^55 The gray image is a code over GF(2) with n=74, k=16 and d=24. This code was found by Heurico 1.10 in 102 seconds.