Prime p₀= 2712641002501356131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2712639303016415767	0 42 46 52 96 142 154 184 192 222 234 280 324 330 334 376	-1699484940364
STPT(10)	2712639400457273471	0 2 30 32 60 62 90 92 120 122	-1602044082660
STPT(10)	2712640166590546271	0 2 30 32 78 80 126 128 156 158	-835910809860
STPT(10)	2712640169143855919	0 2 12 14 90 92 168 170 180 182	-833357500212
SPT(16)	2712640226445606577	0 22 46 70 84 102 126 136 240 250 274 292 306 330 354 376	-776055749554
TPT(14)	2712640404863722997	0 2 42 44 144 146 210 212 240 242 312 314 420 422	-597637633134
SPT(16)	2712641087512662701	0 30 36 38 48 90 120 126 212 218 248 290 300 302 308 338	85011306570
SPT(16)	2712641713228065259	0 60 78 112 144 180 238 244 258 264 322 358 390 424 442 502	710726709128
SPT(16)	2712641892559623883	0 78 118 130 148 288 294 300 358 364 370 510 528 540 580 658	890058267752
SPT(16)	2712642101152278863	0 8 18 126 164 170 176 200 204 228 234 240 278 386 396 404	1098650922732
SPT(16)	2712642108240471503	0 6 54 56 84 204 236 248 456 468 500 620 648 650 698 704	1105739115372