The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 1 0 2 1 1 1 1 1 0 0 0 1 1 2 2 1 1 0 1 1 2 1 1 0 0 1 0 1 1 2 1 1 1 0 0 0 1 0 2 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 2 0 1 0 3 2 1 1 2 0 1 1 2 3 1 1 0 0 1 1 0 2 0 1 1 0 0 1 2 0 2 3 3 0 2 2 1 3 1 0 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 0 0 2 1 1 3 1 2 0 1 3 1 1 3 2 0 0 3 2 0 2 2 0 2 1 1 3 0 0 1 1 2 3 3 1 0 0 3 3 2 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 0 0 1 3 2 1 3 1 2 2 1 3 0 3 3 3 2 1 0 0 1 0 0 2 2 0 0 1 3 0 1 3 0 3 1 2 1 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 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 2 0 0 0 2 0 2 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 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 2 2 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 generates a code of length 57 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+71x^44+88x^45+178x^46+248x^47+395x^48+444x^49+572x^50+680x^51+840x^52+906x^53+950x^54+1086x^55+1056x^56+1196x^57+1134x^58+1168x^59+1061x^60+956x^61+781x^62+708x^63+490x^64+420x^65+382x^66+184x^67+150x^68+82x^69+88x^70+22x^71+26x^72+4x^73+7x^74+6x^76+3x^78+1x^90 The gray image is a code over GF(2) with n=114, k=14 and d=44. This code was found by Heurico 1.16 in 57.1 seconds.