Prime p₀= 2731035160561111631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: JayPi
db: batch=82, k=10, 2 76 2 28 2

SPT(16)	2731034184215008271	0 26 90 116 140 162 222 278 300 356 416 438 462 488 552 578	-976346103360
TPT(14)	2731034487349734701	0 2 78 80 90 92 120 122 186 188 198 200 288 290	-673211376930
SPT(16)	2731034727880865701	0 18 28 106 172 190 198 312 406 520 528 546 612 690 700 718	-432680245930
TPT(14)	2731034774943253481	0 2 48 50 108 110 126 128 150 152 180 182 216 218	-385617858150
STPT(10)	2731034947095655139	0 2 18 20 30 32 42 44 60 62	-213465456492
SPT(16)	2731035143008847333	0 26 96 228 404 414 428 438 536 546 560 570 746 878 948 974	-17552264298
SPT(16)	2731035490122411883	0 10 60 94 124 166 186 210 340 364 384 426 456 490 540 550	329561300252
SPT(16)	2731035725795598433	0 16 24 28 46 90 136 148 156 168 214 258 276 280 288 304	565234486802
SPT(16)	2731035765934821413	0 6 50 56 80 120 150 186 224 260 290 330 354 360 404 410	605373709782
STPT(10)	2731036433320159631	0 2 6 8 18 20 30 32 36 38	1272759048000
SPT(16)	2731036732626695021	0 8 62 86 110 116 176 182 216 222 282 288 312 336 390 398	1572065583390