Prime p₀= 2398507949748712577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2398505375096375107	0 6 10 12 40 82 90 112 120 142 150 192 220 222 226 232	-2574652337470
STPT(10)	2398505447628721547	0 2 30 32 42 44 54 56 84 86	-2502119991030
TPT(14)	2398505713316362541	0 2 6 8 138 140 168 170 180 182 216 218 246 248	-2236432350036
STPT(10)	2398506253044956237	0 2 30 32 42 44 54 56 84 86	-1696703756340
SPT(13)	2398506627146536021	0 30 78 120 162 168 180 192 198 240 282 330 360	-1322602176556
STPT(10)	2398507043246476241	0 2 30 32 78 80 126 128 156 158	-906502236336
STPT(10)	2398508256897189137	0 2 30 32 42 44 54 56 84 86	307148476560
SPT(16)	2398508352783420991	0 28 42 46 66 72 106 148 150 192 226 232 252 256 270 298	403034708414
STPT(10)	2398508410825407701	0 2 6 8 18 20 30 32 36 38	461076695124
STPT(10)	2398508539046528927	0 2 42 44 72 74 102 104 144 146	589297816350
SPT(16)	2398508991435898507	0 34 60 64 90 102 112 124 132 144 154 166 192 196 222 256	1041687185930