Prime p₀= 1278924950196304727 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1278923788252586947	0 16 42 72 150 160 210 276 286 352 402 412 490 520 546 562	-1161943717780
TPT(14)	1278923847250186307	0 2 30 32 42 44 120 122 144 146 162 164 174 176	-1102946118420
SPT(16)	1278924213238203929	0 18 60 78 102 140 182 192 218 228 270 308 332 350 392 410	-736958100798
STPT(10)	1278924290674809377	0 2 30 32 42 44 54 56 84 86	-659521495350
TPT(14)	1278924290674809377	0 2 30 32 42 44 54 56 84 86 132 134 144 146	-659521495350
SPT(16)	1278924594378771937	0 10 84 100 132 154 156 210 286 340 342 364 396 412 486 496	-355817532790
SPT(16)	1278925049271722407	0 76 84 126 156 174 184 202 234 252 262 280 310 352 360 436	99075417680
STPT(10)	1278925614385834871	0 2 30 32 78 80 126 128 156 158	664189530144
STPT(10)	1278926041650612371	0 2 30 32 78 80 126 128 156 158	1091454307644
SPT(16)	1278926286232226257	0 52 54 72 90 112 120 126 190 196 204 226 244 262 264 316	1336035921530
SPT(20)	1278926483249000227	0 24 36 42 70 76 90 94 102 120 136 154 162 166 180 186 214 220 232 256	1533052695500