The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 0 2 0 0 1 0 2 0 1 0 0 0 0 1 1 2 0 2 1 1 0 0 2 0 2 1 1 1 1 1 0 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 3 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 3 2 1 0 1 1 3 0 0 1 0 0 0 0 0 0 0 0 2 1 3 1 2 3 3 3 3 0 0 2 1 1 2 1 1 1 2 2 2 0 0 1 0 3 3 0 2 2 1 3 1 1 1 3 0 3 1 0 0 3 3 0 0 0 0 1 0 0 0 0 0 0 0 3 1 2 3 1 1 3 2 0 1 1 1 3 0 1 2 3 1 1 0 2 1 2 2 0 3 3 3 3 1 2 1 0 1 3 3 3 2 2 3 2 0 1 2 0 0 0 0 1 0 0 2 1 3 1 1 2 3 3 3 1 3 1 2 0 0 2 1 1 1 3 2 3 3 2 1 1 3 2 3 3 0 0 0 2 1 1 3 0 0 2 2 3 0 3 3 2 3 1 0 0 0 0 0 1 0 3 1 2 3 0 0 0 0 3 2 3 1 0 3 0 3 3 1 1 2 2 0 2 2 2 1 1 3 1 2 0 0 1 2 3 3 3 1 2 3 1 0 3 2 1 0 3 2 0 0 0 0 0 0 1 1 2 3 3 0 0 0 0 1 3 2 1 1 0 3 1 1 0 2 2 1 2 3 2 0 0 1 1 2 3 3 2 1 3 1 3 2 2 0 1 3 3 3 3 0 3 1 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+358x^44+732x^46+1200x^48+1632x^50+1982x^52+2174x^54+2342x^56+2160x^58+1704x^60+1038x^62+649x^64+310x^66+82x^68+16x^70+2x^74+1x^76+1x^92 The gray image is a code over GF(2) with n=110, k=14 and d=44. This code was found by Heurico 1.16 in 95.9 seconds.