The generator matrix 1 0 0 0 0 1 1 1 0 1 1 1 1 2 1 2 1 2 0 1 2 1 1 0 1 2 2 0 0 1 1 0 2 0 1 2 2 1 1 2 1 1 0 1 0 0 0 0 0 0 0 1 1 3 1 1 1 1 2 1 0 0 2 3 2 2 1 1 1 1 2 3 3 1 1 1 2 2 1 3 3 2 3 3 0 0 1 0 0 0 1 1 1 1 3 1 0 1 1 0 2 2 0 0 1 0 1 0 0 1 3 2 1 2 3 1 0 2 1 1 2 0 0 2 0 2 0 0 0 1 0 1 1 0 1 0 1 0 2 1 3 1 3 2 1 0 3 1 0 0 3 1 2 3 2 3 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 0 1 1 0 1 1 0 1 1 3 3 2 2 2 1 3 1 0 3 2 1 2 0 3 1 1 1 1 3 0 1 2 3 2 1 2 1 1 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 2 0 2 0 generates a code of length 42 over Z4 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+64x^31+165x^32+256x^33+403x^34+530x^35+667x^36+760x^37+977x^38+1066x^39+1130x^40+1366x^41+1374x^42+1392x^43+1346x^44+1206x^45+966x^46+816x^47+666x^48+440x^49+320x^50+206x^51+107x^52+64x^53+49x^54+22x^55+14x^56+2x^57+6x^58+2x^61+1x^66 The gray image is a code over GF(2) with n=84, k=14 and d=31. This code was found by Heurico 1.16 in 35.5 seconds.