Prime p₀= 1021206162811850339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1021204723686820381	0 10 16 30 52 78 88 120 178 210 220 246 268 282 288 298	-1439125029958
STPT(10)	1021204888666933169	0 2 42 44 90 92 138 140 180 182	-1274144917170
STPT(10)	1021205504923795151	0 2 36 38 78 80 120 122 156 158	-657888055188
SPT(16)	1021205711291375381	0 32 98 122 170 182 188 200 258 270 276 288 336 360 426 458	-451520474958
STPT(10)	1021205899204671137	0 2 24 26 42 44 60 62 84 86	-263607179202
SPT(16)	1021206135816382561	0 16 22 96 100 126 148 222 226 300 322 348 352 426 432 448	-26995467778
STPT(10)	1021206289582594847	0 2 30 32 42 44 54 56 84 86	126770744508
SPT(16)	1021206376591215497	0 12 50 92 140 152 156 222 260 326 330 342 390 432 470 482	213779365158
TPT(14)	1021206394874962631	0 2 30 32 156 158 168 170 228 230 306 308 318 320	232063112292
SPT(16)	1021206492202797001	0 6 12 30 126 148 190 216 232 258 300 322 418 436 442 448	329390946662
SPT(16)	1021207029421436843	0 24 30 44 108 110 164 198 206 240 294 296 360 374 380 404	866609586504