Let R = K[x(1), x(2), x(3), x(4)] be the polynomial ring over a field of characteristic zero. For the ideal (x(1)(a), x(2)(b), x(3)(c), x(4)(d)) subset of R, where at least one of a, b, c and d is equal to two, we prove that its generic initial ideal with respect to the reverse lexicographic order is the almost revlex ideal corresponding to the same Hilbert function.