Prime p₀= 2499389417540030579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2499388216392523697	0 14 26 86 114 120 180 204 212 236 296 302 330 390 402 416	-1201147506882
STPT(10)	2499388270270492199	0 2 18 20 30 32 42 44 60 62	-1147269538380
STPT(10)	2499388759650397817	0 2 42 44 72 74 102 104 144 146	-657889632762
STPT(10)	2499388826088545099	0 2 42 44 60 62 78 80 120 122	-591451485480
SPT(18)	2499389022606543451	0 28 30 88 102 108 112 130 142 168 180 198 202 208 222 280 282 310	-394933487128
STPT(10)	2499389134473106661	0 2 36 38 78 80 120 122 156 158	-283066923918
SPT(16)	2499389724881761861	0 6 10 18 42 58 66 70 108 112 120 136 160 168 172 178	307341731282
SPT(16)	2499389894408114731	0 46 58 66 88 106 136 156 190 210 240 258 280 288 300 346	476868084152
SPT(16)	2499390109195222601	0 36 50 92 120 158 168 180 248 260 270 308 336 378 392 428	691655192022
STPT(10)	2499390456737858681	0 2 6 8 48 50 90 92 96 98	1039197828102
SPT(16)	2499390624452265547	0 34 64 100 106 112 126 216 220 310 324 330 336 372 402 436	1206912234968