Prime p₀= 3022872274405846361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	3022870637133860717	0 36 44 50 54 110 116 284 306 474 480 536 540 546 554 590	-1637271985644
SPT(16)	3022870776141541363	0 36 58 70 148 198 210 250 324 364 376 426 504 516 538 574	-1498264304998
STPT(10)	3022870812954503837	0 2 42 44 72 74 102 104 144 146	-1461451342524
SPT(16)	3022871013977103943	0 34 90 108 118 154 244 264 280 300 390 426 436 454 510 544	-1260428742418
SPT(16)	3022871366369548439	0 14 32 54 152 158 182 204 218 240 264 270 368 390 408 422	-908036297922
STPT(10)	3022871708433366479	0 2 18 20 30 32 42 44 60 62	-565972479882
SPT(16)	3022872994524296491	0 12 18 102 160 172 222 238 270 286 336 348 406 490 496 508	720118450130
STPT(10)	3022873062371593727	0 2 90 92 102 104 114 116 204 206	787965747366
TPT(14)	3022873378834924001	0 2 90 92 126 128 156 158 210 212 228 230 246 248	1104429077640
STPT(10)	3022873577244717809	0 2 18 20 30 32 42 44 60 62	1302838871448
SPT(16)	3022873835995447943	0 14 48 78 134 158 164 216 218 270 276 300 356 386 420 434	1561589601582