We report a study of the e(+)e(-) -> D+D-pi(+)pi(-) process using e(+)e(-) collision data samples with an integrated luminosity of 2.5 fb(-1) at center-of-mass energies from 4.36 to 4.60 GeV, collected with the BESIII detector at the BEPCII storage ring. The D1(2420)+ is observed in the D+pi(+)pi(-) mass spectrum. The mass and width of the D-1(2420)+ are measured to be (2427.2 +/- 1.0(stat).+/- 1.2(syst).) MeV/c(2) and (23.2 +/- 2.3(stat). +/- 2.3(syst).) MeV, respectively. In addition, the Born cross sections of the e(+)e(-) -> D-1(2420)D-+(-) + c.c. -> D+D-pi(+)pi(-) and e(+)e(-) -> psi(3770)pi(+)pi(-) -> D+D-pi(+)pi(-) processes are measured as a function of the center-of-mass energy. (c) 2020 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).