The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 2 2 1 1 1 0 2 0 0 0 1 2 1 1 0 1 1 1 2 2 1 2 2 2 1 2 2 1 0 1 0 2 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 2 2 0 3 0 1 1 0 0 3 2 2 1 0 2 1 1 2 1 1 2 1 1 0 0 2 2 3 0 1 1 3 1 2 3 2 2 1 0 1 2 2 2 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 2 3 0 3 0 3 2 1 3 3 2 1 1 1 1 3 3 3 3 1 1 1 2 3 1 1 1 1 2 0 1 2 1 1 0 3 1 2 2 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 2 3 0 3 0 0 3 1 3 0 3 1 2 2 1 2 3 1 1 3 0 2 0 2 1 3 1 2 0 0 3 3 1 2 0 1 0 0 1 0 0 3 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 3 2 0 1 1 0 2 3 2 3 2 1 2 1 3 3 0 3 1 3 3 0 3 0 1 3 0 3 1 3 3 3 3 0 0 2 2 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+80x^40+219x^42+507x^44+1003x^46+1575x^48+2195x^50+3032x^52+3683x^54+4046x^56+4063x^58+3707x^60+3131x^62+2298x^64+1525x^66+898x^68+461x^70+200x^72+94x^74+32x^76+10x^78+8x^80 The gray image is a code over GF(2) with n=114, k=15 and d=40. This code was found by Heurico 1.16 in 99.2 seconds.