Prime p₀= 1178378866168357001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: biodoc
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1178377832620646027	0 2 12 14 56 60 122 144 152 174 236 240 282 284 294 296	-1033547710974
STPT(10)	1178377964655130397	0 2 54 56 132 134 210 212 264 266	-901513226604
SPT(16)	1178378080939540889	0 18 48 62 90 102 128 132 170 174 200 212 240 254 284 302	-785228816112
SPT(16)	1178378224235605651	0 16 30 42 70 90 178 222 256 300 388 408 436 448 462 478	-641932751350
STPT(10)	1178378282522750339	0 2 18 20 30 32 42 44 60 62	-583645606662
STPT(10)	1178378342248547129	0 2 18 20 30 32 42 44 60 62	-523919809872
SPT(16)	1178379068423660891	0 60 78 90 128 146 168 170 258 260 282 300 338 350 368 428	202255303890
SPT(16)	1178379114162975341	0 8 18 30 38 42 66 122 156 212 236 240 248 260 270 278	247994618340
SPT(16)	1178379792298693051	0 42 58 70 78 90 100 132 238 270 280 292 300 312 328 370	926130336050
STPT(10)	1178379799591274219	0 2 42 44 60 62 78 80 120 122	933422917218
TPT(14)	1178380256903245139	0 2 18 20 30 32 72 74 168 170 258 260 330 332	1390734888138