Prime p₀= 2021099282577333767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2021097778202289539	0 2 18 20 30 32 42 44 60 62	-1504375044228
SPT(16)	2021098029663895109	0 72 92 98 132 152 212 224 258 270 330 350 384 390 410 482	-1252913438658
STPT(10)	2021098405871069849	0 2 42 44 60 62 78 80 120 122	-876706263918
SPT(16)	2021098788548964457	0 34 40 60 102 114 120 222 232 334 340 352 394 414 420 454	-494028369310
SPT(16)	2021098909862495291	0 30 90 96 126 138 140 152 156 168 170 182 212 218 278 308	-372714838476
SPT(16)	2021099069481919939	0 88 94 124 130 168 172 220 222 270 274 312 318 348 354 442	-213095413828
SPT(16)	2021099550566714273	0 8 54 78 110 120 168 186 218 236 284 294 326 350 396 404	267989380506
SPT(16)	2021099571161570777	0 14 42 44 50 66 132 146 150 164 230 246 252 254 282 296	288584237010
SPT(16)	2021100115814177303	0 8 66 126 164 168 218 230 234 246 296 300 338 398 456 464	833236843536
STPT(10)	2021100152359189007	0 2 30 32 42 44 54 56 84 86	869781855240
SPT(16)	2021100341655794293	0 4 34 66 160 166 186 196 234 244 264 270 364 396 426 430	1059078460526