Prime p₀= 2104598721239543717 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: kashi
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2104596594392450831	0 2 30 32 78 80 126 128 156 158	-2126847092886
SPT(16)	2104596976915917557	0 2 20 50 104 134 152 162 182 192 210 240 294 324 342 344	-1744323626160
STPT(10)	2104597084629271259	0 2 18 20 30 32 42 44 60 62	-1636610272458
SPT(16)	2104598158439602697	0 14 60 72 86 102 104 156 170 222 224 240 254 266 312 326	-562799941020
SPT(16)	2104598165883399737	0 24 80 126 134 150 162 174 392 404 416 432 440 486 542 566	-555356143980
STPT(10)	2104598470493813351	0 2 30 32 78 80 126 128 156 158	-250745730366
SPT(16)	2104598894173946581	0 52 90 102 120 130 132 138 160 166 168 178 196 208 246 298	172934402864
STPT(10)	2104599532568441717	0 2 12 14 72 74 132 134 144 146	811328898000
STPT(10)	2104599647182715861	0 2 6 8 48 50 90 92 96 98	925943172144
SPT(16)	2104599700249758553	0 4 10 28 48 90 108 114 130 136 154 196 216 234 240 244	979010214836
STPT(10)	2104599733559196659	0 2 42 44 60 62 78 80 120 122	1012319652942