The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1 2 1 1 2 1 1 2 2 1 2 1 2 2 1 1 1 1 1 2 1 1 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 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 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 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 0 0 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 2 0 2 0 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+77x^40+155x^42+260x^44+357x^46+512x^48+738x^50+1314x^52+2086x^54+2610x^56+2722x^58+2099x^60+1388x^62+812x^64+492x^66+326x^68+194x^70+137x^72+51x^74+32x^76+7x^78+10x^80+2x^82+1x^92+1x^96 The gray image is a code over GF(2) with n=114, k=14 and d=40. This code was found by Heurico 1.16 in 47.3 seconds.