Prime p₀= 1298574710667695579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(20)	1298573389586228683	0 6 36 64 96 120 124 148 156 166 288 298 306 330 334 358 390 418 448 454	-1321081466896
SPT(16)	1298574022003789133	0 14 74 80 84 108 110 120 158 168 170 194 198 204 264 278	-688663906446
SPT(18)	1298574149317708387	0 60 94 144 180 196 210 222 244 432 454 466 480 496 532 582 616 676	-561349987192
SPT(16)	1298574334168107653	0 24 54 60 74 86 156 164 186 194 264 276 290 296 326 350	-376499587926
SPT(16)	1298574334440669283	0 18 48 88 96 100 114 118 126 130 144 148 156 196 226 244	-376227026296
SPT(16)	1298574429613344817	0 6 64 70 72 76 112 120 196 204 240 244 246 252 310 316	-281054350762
STPT(10)	1298574843129471377	0 2 30 32 42 44 54 56 84 86	132461775798
STPT(10)	1298575201999968857	0 2 30 32 42 44 54 56 84 86	491332273278
SPT(16)	1298575314826352341	0 30 42 76 120 132 148 192 286 330 346 358 402 436 448 478	604158656762
SPT(16)	1298575745409244667	0 50 56 122 134 144 156 162 164 170 182 192 204 270 276 326	1034741549088
SPT(16)	1298575818387206339	0 14 24 50 54 60 84 92 102 110 134 140 144 170 180 194	1107719510760