Prime p₀= 2310253815642573077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: FritzB
db: batch=81, k=10, 2 10 2 118 2

STPT(12)	2310252552431675039	0 2 12 14 42 44 168 170 198 200 210 212	-1263210898038
SPT(16)	2310252773541410891	0 30 56 120 138 176 180 218 300 338 342 380 398 462 488 518	-1042101162186
STPT(10)	2310252778183763669	0 2 12 14 90 92 168 170 180 182	-1037458809408
STPT(10)	2310252790132003349	0 2 42 44 90 92 138 140 180 182	-1025510569728
SPT(16)	2310253277696652199	0 22 42 58 70 72 88 114 148 174 190 192 204 220 240 262	-537945920878
SPT(16)	2310253410591608623	0 30 60 64 70 166 180 196 198 214 228 324 330 334 364 394	-405050964454
SPT(16)	2310253866195184009	0 42 70 84 90 100 114 118 144 148 162 172 178 192 220 262	50552610932
SPT(16)	2310254105114910937	0 114 124 132 136 250 280 286 300 306 336 450 454 462 472 586	289472337860
SPT(16)	2310254662987266881	0 2 6 18 30 32 72 98 120 146 186 188 200 212 216 218	847344693804
STPT(10)	2310254694453523799	0 2 42 44 60 62 78 80 120 122	878810950722
TPT(14)	2310254720985423629	0 2 48 50 72 74 102 104 180 182 198 200 222 224	905342850552