The following d20+d120+4d360 configuration was found by Paul Meyer after the original 6d360 record, though the LCM is not improved. It is constructed by inducing a d20 around 6 repetitions of Paul's d20+4d60 configuration.
fabcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabcfffffabcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabcfabcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabcffffffabcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabcfabcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabcfffffabcddcbaecbaddabcabcddcbaeedbaccabddbaccabdeecbaddabcabcddcbadbaccabddbaccabdecbaddabccbaddabcecbaddabcdbaccabdeeabcddcbaecbaddabceedbaccabdabcddcbacbaddabcabcddcbaeabcddcbadbaccabdeeabcddcbadbaccabdabcddcbaecbaddabcecbaddabcedbaccabdabcddcbaedbaccabdecbaddabcf