The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 0 1 1 2 1 0 1 0 1 0 1 1 0 0 1 1 0 2 1 1 1 1 1 1 1 0 1 1 1 1 2 2 0 2 2 1 1 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 1 2 3 1 0 0 0 3 1 0 1 2 1 2 1 2 1 1 2 3 1 2 2 2 1 1 1 0 2 3 2 0 2 1 2 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 2 0 1 1 3 1 3 3 1 0 1 0 2 1 1 0 0 2 0 1 1 2 1 0 1 1 3 0 1 2 3 0 2 3 1 1 2 3 1 3 2 2 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 2 0 2 3 2 1 2 2 0 1 3 1 3 1 1 3 2 2 2 1 1 2 0 1 2 3 2 2 3 2 3 2 0 1 0 0 1 3 3 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 generates a code of length 54 over Z4 who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+24x^41+81x^42+144x^43+298x^44+326x^45+504x^46+520x^47+674x^48+766x^49+872x^50+1028x^51+1016x^52+1220x^53+1154x^54+1284x^55+1189x^56+1140x^57+963x^58+824x^59+673x^60+494x^61+425x^62+240x^63+195x^64+118x^65+82x^66+52x^67+42x^68+8x^69+12x^70+4x^71+5x^72+2x^74+3x^76+1x^78 The gray image is a code over GF(2) with n=108, k=14 and d=41. This code was found by Heurico 1.16 in 52.2 seconds.