Prime p₀= 820083751021055957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Coleslaw
db: batch=73, k=10, 2 40 2 28 2

STPT(10)	820082807410082927	0 2 42 44 72 74 102 104 144 146	-943610973030
SPT(16)	820082986573222441	0 70 130 150 168 180 186 192 196 202 208 220 238 258 318 388	-764447833516
SPT(16)	820083120408554363	0 6 56 60 78 104 126 128 186 188 210 236 254 258 308 314	-630612501594
SPT(18)	820083443715723349	0 18 88 108 120 130 148 250 270 298 318 420 438 448 460 480 550 568	-307305332608
SPT(16)	820083519799285873	0 46 48 108 160 174 178 234 280 336 340 354 406 466 468 514	-231221770084
SPT(16)	820083591229084211	0 12 72 78 80 98 108 152 168 212 222 240 242 248 308 320	-159791971746
SPT(16)	820084042038530287	0 16 96 106 132 162 166 184 222 240 244 274 300 310 390 406	291017474330
SPT(16)	820084409634448547	0 44 56 80 176 180 182 294 332 444 446 450 546 570 582 626	658613392590
SPT(18)	820084758836701117	0 6 30 60 126 156 160 226 250 330 354 420 424 454 520 550 574 580	1007815645160
SPT(16)	820084806244218433	0 10 24 34 36 76 136 154 156 174 234 274 276 286 300 310	1055223162476
SPT(16)	820085385305073397	0 70 72 100 102 202 214 226 240 252 264 364 366 394 396 466	1634284017440