The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 1 1 1 2 2 2 2 1 1 0 2 2 1 0 0 1 2 1 2 1 2 0 1 1 0 0 2 1 2 0 1 1 1 2 1 0 0 2 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 2 1 3 2 1 2 1 0 1 3 3 2 1 1 3 1 1 0 2 2 1 0 0 1 3 0 0 1 0 2 0 1 0 1 2 1 3 1 1 0 2 0 0 3 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 2 1 0 1 3 1 1 3 1 2 2 1 2 2 1 2 0 3 0 2 0 1 1 3 2 1 1 1 1 3 2 3 0 0 2 3 1 1 3 2 1 3 0 0 0 0 1 0 1 1 0 1 0 1 3 2 3 1 1 0 0 2 3 0 3 0 1 1 1 2 1 3 1 1 3 0 1 1 3 1 3 0 1 0 2 0 0 1 2 2 0 1 2 2 1 1 0 1 3 0 0 0 0 0 1 1 0 1 1 0 1 3 3 2 3 1 3 1 3 0 0 0 3 3 2 2 2 3 1 0 0 3 1 0 3 0 3 0 1 1 2 2 3 2 1 3 1 0 0 0 3 3 3 1 0 1 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+31x^44+106x^45+194x^46+252x^47+436x^48+518x^49+590x^50+650x^51+792x^52+856x^53+938x^54+1172x^55+1039x^56+1162x^57+1138x^58+1026x^59+1063x^60+926x^61+814x^62+728x^63+558x^64+430x^65+354x^66+226x^67+154x^68+96x^69+59x^70+40x^71+21x^72+2x^73+6x^74+2x^75+2x^78+1x^80+1x^86 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 56.1 seconds.