Prime p₀= 2678427895069521767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2678426714303809331	0 2 36 38 78 80 120 122 156 158	-1180765712436
SPT(16)	2678427134302987117	0 10 42 46 64 96 112 120 196 204 220 252 270 274 306 316	-760766534650
SPT(18)	2678427155915162803	0 6 54 64 90 120 130 154 156 214 216 240 250 280 306 316 364 370	-739154358964
SPT(16)	2678427280519337359	0 34 70 78 112 162 190 204 328 342 370 420 454 462 498 532	-614550184408
STPT(10)	2678427451582446659	0 2 18 20 30 32 42 44 60 62	-443487075108
STPT(10)	2678427647637947207	0 2 30 32 72 74 114 116 144 146	-247431574560
SPT(16)	2678427923155742257	0 36 40 52 76 90 106 112 120 126 142 156 180 192 196 232	28086220490
STPT(10)	2678428174961596007	0 2 30 32 42 44 54 56 84 86	279892074240
SPT(16)	2678428625498711369	0 8 32 42 50 74 152 170 252 270 348 372 380 390 414 422	730429189602
SPT(16)	2678428857436731631	0 12 36 150 190 226 256 280 348 372 402 438 478 592 616 628	962367209864
SPT(16)	2678429251695335077	0 46 84 102 130 132 136 154 192 210 214 216 244 262 300 346	1356625813310