Prime p₀= 2091136631001605951 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2091134894718173309	0 18 48 68 104 162 174 222 230 278 290 348 384 404 434 452	-1736283432642
TPT(14)	2091135514031891027	0 2 24 26 42 44 150 152 192 194 204 206 252 254	-1116969714924
SPT(16)	2091135822256818811	0 6 52 60 82 108 118 130 168 180 190 216 238 246 292 298	-808744787140
STPT(10)	2091135938660151191	0 2 6 8 48 50 90 92 96 98	-692341454760
SPT(16)	2091136365930948877	0 126 144 186 192 220 270 274 282 286 336 364 370 412 430 556	-265070657074
STPT(10)	2091136618189889519	0 2 18 20 30 32 42 44 60 62	-12811716432
STPT(10)	2091136827596094371	0 2 30 32 60 62 90 92 120 122	196594488420
SPT(16)	2091136891728886913	0 18 44 48 60 84 98 104 114 120 134 158 170 174 200 218	260727280962
SPT(16)	2091137415326948017	0 46 72 82 84 112 150 162 214 226 264 292 294 304 330 376	784325342066
SPT(16)	2091137442864527293	0 70 88 190 208 244 300 304 330 334 390 426 444 546 564 634	811862921342
SPT(16)	2091137458766371343	0 20 48 54 56 60 66 80 84 98 104 108 110 116 144 164	827764765392