The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 1 1 1 2 2 0 1 0 2 1 1 2 1 2 2 0 2 0 1 2 1 0 1 1 0 1 2 1 1 1 1 0 0 2 0 1 0 2 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 3 2 0 1 1 1 2 0 1 3 3 0 2 0 1 0 0 2 0 1 0 1 1 2 1 0 1 1 3 3 2 1 2 1 1 0 0 2 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 1 2 0 1 0 2 3 2 2 3 3 0 1 3 1 1 1 1 1 3 1 2 3 2 0 0 2 3 3 2 3 2 2 1 0 1 1 2 1 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 3 3 2 1 3 0 2 3 1 1 0 0 1 0 2 2 1 0 0 2 3 2 0 1 1 1 0 3 0 0 2 1 2 1 1 0 1 1 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 0 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+55x^42+56x^43+232x^44+212x^45+417x^46+492x^47+542x^48+648x^49+797x^50+944x^51+974x^52+1056x^53+1031x^54+1158x^55+1089x^56+1322x^57+1043x^58+1000x^59+875x^60+676x^61+537x^62+376x^63+295x^64+156x^65+175x^66+64x^67+76x^68+24x^69+29x^70+6x^71+9x^72+2x^73+10x^74+3x^76+2x^78 The gray image is a code over GF(2) with n=110, k=14 and d=42. This code was found by Heurico 1.16 in 53.6 seconds.