Prime p₀= 2697491095573816667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: biodoc
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2697487431382710749	0 14 24 98 138 150 234 252 290 308 392 404 444 518 528 542	-3664191105918
SPT(16)	2697487840455332083	0 48 108 118 120 124 130 144 154 168 174 178 180 190 250 298	-3255118484584
STPT(10)	2697488051634998507	0 2 30 32 42 44 54 56 84 86	-3043938818160
STPT(10)	2697490175895220799	0 2 30 32 60 62 90 92 120 122	-919678595868
SPT(16)	2697490379815106401	0 12 78 82 106 120 136 168 250 282 298 312 336 340 406 418	-715758710266
SPT(16)	2697490403539105883	0 38 90 98 158 170 276 284 300 308 414 426 486 494 546 584	-692034710784
STPT(10)	2697491202197997209	0 2 42 44 90 92 138 140 180 182	106624180542
SPT(16)	2697491916130476461	0 2 66 80 90 98 126 140 288 302 330 338 348 362 426 428	820556659794
STPT(10)	2697492018981496349	0 2 18 20 30 32 42 44 60 62	923407679682
SPT(16)	2697492042638382761	0 36 62 72 128 132 192 228 230 266 326 330 386 396 422 458	947064566094
SPT(16)	2697492165008263031	0 8 26 36 48 96 120 140 168 188 212 260 272 282 300 308	1069434446364