Prime p₀= 1273557856848976817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

STPT(10)	1273557123791026901	0 2 30 32 78 80 126 128 156 158	-733057949916
SPT(16)	1273557250426547473	0 10 48 60 76 84 136 150 154 168 220 228 244 256 294 304	-606422429344
TPT(14)	1273557313717973831	0 2 66 68 96 98 108 110 126 128 180 182 198 200	-543131002986
STPT(10)	1273557537680923049	0 2 42 44 60 62 78 80 120 122	-319168053768
SPT(16)	1273557618626555971	0 10 22 30 70 112 118 120 148 150 156 198 238 246 258 268	-238222420846
STPT(10)	1273557735439539461	0 2 6 8 18 20 30 32 36 38	-121409437356
SPT(16)	1273558341845852693	0 24 54 66 114 116 126 176 228 278 288 290 338 350 380 404	484996875876
SPT(16)	1273558370206286383	0 30 64 70 76 84 88 126 178 216 220 228 234 240 274 304	513357309566
SPT(16)	1273558623306269701	0 16 18 48 90 172 256 286 312 342 426 508 550 580 582 598	766457292884
STPT(10)	1273558629272763311	0 2 30 32 78 80 126 128 156 158	772423786494
SPT(16)	1273558748638667171	0 18 20 50 62 108 132 140 150 158 182 228 240 270 272 290	891789690354