Here's a list of hits and near misses. The first hit is (43+0)(43+4) = 2021. The first near miss is (53+0)(53+8) = 3233.

{{43,{0,4}}, {4999493,{0,14}}, {891077215721081784886888257701070827,{0,2}}, {5018676928083894672666012088036109843105301546773725102790665815794437,{0,4}}, {594877471202462845078583461328011525336167267541426222873827376039101347,{0,54}}, {53,{0,6,8}}, {4943,{0,8,14}}, {15541,{0,10,18}}, {49831,{0,12,22}}, {4437314920661962295348881728019584825055609007902269768049678912707397,{0,30,76}}, {39236533463,{0,86,114,128}}, {97090540284081007,{0,82,214,252}}, {3879052403643149143,{0,10,66,76}}, {61843,{0,18,28,36,66}}, {89925533,{0,20,26,48,60}}, {69783320419929621602037383,{0,6,84,120,230}}, {1706791026491912957048478532183,{0,46,54,66,106}}, {7955646631992522480129538315515466631309,{0,98,294,402,452}}}