Prime p₀= 2538213563655122999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: JayPi
db: batch=82, k=10, 2 46 2 10 2

TPT(16)	2538211972771345307	0 2 54 56 132 134 180 182 222 224 360 362 390 392 414 416	-1590883777692
SPT(16)	2538212264981180863	0 66 84 88 106 108 130 136 138 144 166 168 186 190 208 274	-1298673942136
STPT(10)	2538212498467700111	0 2 30 32 78 80 126 128 156 158	-1065187422888
STPT(10)	2538212792993878199	0 2 42 44 90 92 138 140 180 182	-770661244800
SPT(16)	2538212895570416839	0 34 48 78 90 132 168 190 222 244 280 322 334 364 378 412	-668084706160
STPT(10)	2538213379724986697	0 2 30 32 42 44 54 56 84 86	-183930136302
STPT(10)	2538213569004628811	0 2 6 8 18 20 30 32 36 38	5349505812
SPT(16)	2538213801190642447	0 4 22 34 42 64 130 186 220 276 342 364 372 384 402 406	237535519448
STPT(10)	2538213854547553079	0 2 18 20 30 32 42 44 60 62	290892430080
SPT(16)	2538213988660270429	0 94 144 192 214 220 252 280 402 430 462 468 490 538 588 682	425005147430
TPT(14)	2538214254849138911	0 2 48 50 66 68 78 80 168 170 210 212 216 218	691194015912