The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 1 2 1 1 1 0 1 2 0 1 0 1 1 0 0 2 1 1 2 2 1 1 2 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 0 3 1 3 0 0 3 3 2 0 2 1 2 0 2 0 0 1 1 1 3 3 1 0 1 2 0 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 2 2 2 3 1 1 2 2 1 3 1 0 3 0 1 3 1 3 3 0 2 0 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 1 3 3 2 1 1 3 2 1 0 0 3 2 1 1 1 0 2 2 3 2 1 3 1 2 2 0 0 0 0 0 2 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 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 0 0 2 0 2 0 0 0 generates a code of length 42 over Z4 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+139x^32+396x^34+714x^36+1035x^38+1151x^40+1247x^42+1264x^44+1058x^46+712x^48+318x^50+102x^52+35x^54+12x^56+7x^58+1x^72 The gray image is a code over GF(2) with n=84, k=13 and d=32. This code was found by Heurico 1.16 in 5.13 seconds.