The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 1 1 0 1 0 2 1 2 0 1 1 0 0 1 1 2 1 0 1 0 0 1 1 1 1 2 1 0 2 0 0 2 0 1 1 1 0 0 2 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 2 2 0 1 0 1 1 0 1 0 1 1 0 2 2 2 0 1 3 1 1 3 1 2 0 1 3 0 2 2 1 1 1 1 1 3 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 2 1 0 3 1 3 0 1 2 3 2 0 1 2 3 0 0 2 3 3 2 0 0 2 1 2 1 0 1 1 3 2 2 3 3 1 2 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 3 3 1 3 0 3 0 3 0 2 3 1 1 2 2 1 1 2 2 0 3 3 0 1 2 3 1 1 0 3 2 3 1 0 0 3 0 1 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 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 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 0 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+56x^40+20x^41+90x^42+132x^43+204x^44+302x^45+441x^46+532x^47+711x^48+910x^49+1067x^50+1380x^51+1509x^52+1748x^53+1900x^54+1992x^55+2144x^56+2220x^57+2254x^58+2120x^59+1996x^60+1776x^61+1498x^62+1412x^63+1058x^64+912x^65+719x^66+516x^67+373x^68+268x^69+169x^70+96x^71+106x^72+32x^73+46x^74+12x^75+30x^76+2x^77+7x^78+4x^80+2x^81+1x^86 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 99.3 seconds.