Prime p₀= 1249308218629856027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1249306762989818629	0 10 28 90 118 130 132 220 252 340 342 354 382 444 462 472	-1455640037398
SPT(13)	1249307186222778349	0 18 30 78 90 120 144 168 198 210 258 270 288	-1032407077678
STPT(10)	1249307430566396819	0 2 48 50 60 62 72 74 120 122	-788063459208
SPT(16)	1249307751114934921	0 40 106 120 166 168 180 186 190 196 208 210 256 270 336 376	-467514921106
STPT(10)	1249308055282589999	0 2 48 50 90 92 132 134 180 182	-163347266028
SPT(16)	1249308055909458001	0 28 42 48 78 90 108 118 150 160 178 190 220 226 240 268	-162720398026
SPT(16)	1249308400438434143	0 54 78 84 90 98 156 168 176 188 246 254 260 266 290 344	181808578116
STPT(10)	1249308503689832777	0 2 42 44 72 74 102 104 144 146	285059976750
SPT(16)	1249309028795016353	0 14 50 84 104 108 258 260 288 290 440 444 464 498 534 548	810165160326
STPT(10)	1249309273814705837	0 2 24 26 42 44 60 62 84 86	1055184849810
SPT(16)	1249310173944483517	0 16 34 66 76 96 100 114 136 150 154 174 184 216 234 250	1955314627490