Prime p₀= 4352944384650755627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Nvgnte
db: batch=85, k=10, 2 22 2 16 2

SPT(16)	4352942807178626329	0 30 34 64 84 114 250 264 268 282 418 448 468 498 502 532	-1577472129298
SPT(16)	4352942827115599537	0 22 60 72 106 190 192 234 322 364 366 450 484 496 534 556	-1557535156090
TPT(14)	4352942855893359617	0 2 180 182 204 206 264 266 282 284 324 326 390 392	-1528757396010
SPT(22)	4352943463775897173	0 24 36 94 100 108 126 166 196 210 234 280 304 318 348 388 406 414 420 478 490 514	-920874858454
STPT(10)	4352943798038770601	0 2 6 8 18 20 30 32 36 38	-586611985026
SPT(16)	4352944372394843039	0 20 44 78 104 152 170 182 210 222 240 288 314 348 372 392	-12255912588
TPT(14)	4352944395672340187	0 2 24 26 102 104 144 146 150 152 210 212 252 254	11021584560
STPT(10)	4352944757569809221	0 2 6 8 18 20 30 32 36 38	372919053594
SPT(16)	4352944969733759551	0 18 28 42 52 102 136 148 150 162 196 246 256 270 280 298	585083003924
STPT(10)	4352945485395290207	0 2 54 56 72 74 90 92 144 146	1100744534580
SPT(16)	4352945574712348967	0 72 80 86 132 140 150 162 224 236 246 254 300 306 314 386	1190061593340