The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 1 1 1 0 0 1 1 2 1 1 0 1 0 1 2 1 1 1 2 1 2 2 0 2 1 0 1 1 2 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 0 3 1 0 3 1 3 0 1 0 1 0 1 1 0 1 1 2 3 1 2 1 3 1 0 3 1 1 1 1 1 1 0 1 0 2 0 1 3 3 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 2 0 2 2 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 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+64x^42+10x^43+167x^44+32x^45+266x^46+132x^47+379x^48+312x^49+501x^50+580x^51+690x^52+1006x^53+910x^54+1322x^55+1067x^56+1402x^57+1096x^58+1314x^59+972x^60+1004x^61+788x^62+616x^63+536x^64+300x^65+317x^66+112x^67+206x^68+38x^69+110x^70+10x^71+65x^72+2x^73+36x^74+13x^76+6x^78+1x^82+1x^98 The gray image is a code over GF(2) with n=114, k=14 and d=42. This code was found by Heurico 1.16 in 35.2 seconds.