The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 0 0 0 1 1 0 0 1 2 1 1 1 1 2 2 1 0 0 0 0 2 2 2 1 1 1 1 1 2 1 2 2 0 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 1 1 0 2 1 0 2 2 0 2 1 3 0 1 2 1 1 1 0 1 0 1 2 2 2 1 1 0 1 3 1 1 1 2 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 0 3 1 1 1 1 1 1 1 3 1 0 0 2 1 0 1 3 1 2 1 1 1 3 3 0 2 2 2 0 1 1 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 2 2 generates a code of length 54 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+55x^42+44x^43+154x^44+176x^45+241x^46+246x^47+343x^48+380x^49+430x^50+546x^51+537x^52+600x^53+605x^54+692x^55+527x^56+592x^57+448x^58+392x^59+340x^60+248x^61+195x^62+118x^63+116x^64+52x^65+58x^66+10x^67+22x^68+15x^70+5x^72+1x^74+2x^76+1x^84 The gray image is a code over GF(2) with n=108, k=13 and d=42. This code was found by Heurico 1.16 in 7.94 seconds.