Prime p₀= 2679746938788939137 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2679744991330226363	0 26 68 96 110 144 150 186 188 224 230 264 278 306 348 374	-1947458712774
SPT(16)	2679745034744237851	0 10 30 132 160 210 238 262 276 300 328 378 406 508 528 538	-1904044701286
STPT(10)	2679745426514928437	0 2 12 14 42 44 72 74 84 86	-1512274010700
STPT(10)	2679745836116367647	0 2 30 32 72 74 114 116 144 146	-1102672571490
SPT(16)	2679746335536121253	0 36 54 78 80 96 156 164 210 218 278 294 296 320 338 374	-603252817884
STPT(10)	2679746381479056191	0 2 30 32 78 80 126 128 156 158	-557309882946
SPT(16)	2679747288792876971	0 8 26 36 62 92 110 128 180 198 216 246 272 282 300 308	350003937834
SPT(16)	2679747305472566809	0 28 72 88 102 172 184 198 244 258 270 340 354 370 414 442	366683627672
STPT(10)	2679747571821448937	0 2 12 14 42 44 72 74 84 86	633032509800
STPT(10)	2679748035795562349	0 2 48 50 60 62 72 74 120 122	1097006623212
SPT(16)	2679748077689945011	0 40 72 96 100 126 172 222 226 276 322 348 352 376 408 448	1138901005874