Prime p₀= 2562111563223635231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Penguin
db: batch=82, k=10, 2 4 2 40 2

STPT(12)	2562109653188216777	0 2 60 62 84 86 90 92 114 116 174 176	-1910035418454
SPT(16)	2562110166295754653	0 24 90 106 138 168 204 216 238 250 286 316 348 364 430 454	-1396927880578
SPT(16)	2562110349564458321	0 30 68 72 80 110 126 128 210 212 228 258 266 270 308 338	-1213659176910
STPT(10)	2562110956780341467	0 2 54 56 72 74 90 92 144 146	-606443293764
SPT(16)	2562111276625950611	0 42 72 86 90 212 216 240 308 332 336 458 462 476 506 548	-286597684620
SPT(16)	2562111303185794219	0 10 60 82 142 150 198 228 304 334 382 390 450 472 522 532	-260037841012
SPT(16)	2562111686741587823	0 20 24 30 98 104 126 138 266 278 300 306 374 380 384 404	123517952592
TPT(14)	2562111814787875277	0 2 54 56 90 92 180 182 210 212 264 266 300 302	251564240046
STPT(12)	2562111832704621479	0 2 18 20 42 44 78 80 102 104 120 122	269480986248
TPT(14)	2562112546764393437	0 2 84 86 150 152 180 182 204 206 222 224 300 302	983540758206
SPT(16)	2562112627736682547	0 70 94 114 120 132 142 202 354 414 424 436 442 462 486 556	1064513047316