Prime p₀= 2115114892420446359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2115112769926365311	0 18 42 48 50 72 90 116 282 308 326 348 350 356 380 398	-2122494081048
TPT(14)	2115113645822782859	0 2 18 20 42 44 48 50 78 80 90 92 102 104	-1246597663500
STPT(10)	2115113676672880529	0 2 48 50 60 62 72 74 120 122	-1215747565830
STPT(10)	2115114353445238469	0 2 18 20 30 32 42 44 60 62	-538975207890
SPT(16)	2115114413756565007	0 40 52 70 72 94 112 150 166 204 222 244 246 264 276 316	-478663881352
SPT(16)	2115114692415128743	0 16 94 136 150 154 166 226 258 318 330 334 348 390 468 484	-200005317616
STPT(10)	2115115026164490599	0 2 18 20 30 32 42 44 60 62	133744044240
SPT(16)	2115115082811754687	0 4 70 76 144 166 174 186 244 256 264 286 354 360 426 430	190391308328
SPT(16)	2115115254646652441	0 2 18 30 68 72 126 128 150 152 206 210 248 260 276 278	362226206082
TPT(14)	2115115501388262941	0 2 36 38 96 98 126 128 150 152 198 200 240 242	608967816582
STPT(10)	2115115697079054581	0 2 6 8 18 20 30 32 36 38	804658608222