Prime p₀= 2016098151352575089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Dingo
db: batch=80, k=10, 2 46 2 10 2

TPT(14)	2016097391265346811	0 2 30 32 36 38 120 122 168 170 270 272 288 290	-760087228278
SPT(16)	2016097525222923463	0 6 10 48 70 96 126 150 154 178 208 234 256 294 298 304	-626129651626
STPT(10)	2016097528342276997	0 2 90 92 102 104 114 116 204 206	-623010298092
STPT(10)	2016097598176031969	0 2 18 20 30 32 42 44 60 62	-553176543120
STPT(10)	2016097960556434397	0 2 24 26 42 44 60 62 84 86	-190796140692
SPT(16)	2016098093930107679	0 18 38 120 122 140 170 228 272 330 360 378 380 462 482 500	-57422467410
SPT(16)	2016098203344078361	0 30 40 58 76 100 106 112 126 132 138 162 180 198 208 238	51991503272
SPT(16)	2016098262579517313	0 30 66 96 134 158 170 186 218 234 246 270 308 338 374 404	111226942224
SPT(16)	2016098318955796711	0 6 16 30 126 168 198 208 210 220 250 292 388 402 412 418	167603221622
SPT(16)	2016098383491360499	0 18 22 52 78 90 114 118 144 148 172 184 210 240 244 262	232138785410
SPT(16)	2016098463258929531	0 18 30 98 122 138 158 270 320 432 452 468 492 560 572 590	311906354442