Prime p₀= 2864512170920896619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 76 2

STPT(10)	2864510998570925519	0 2 12 14 30 32 48 50 60 62	-1172349971100
SPT(18)	2864511178591199983	0 28 48 58 84 94 130 138 160 234 256 264 300 310 336 346 366 394	-992329696636
SPT(16)	2864511371352349283	0 38 54 74 78 96 116 140 144 168 188 206 210 230 246 284	-799568547336
SPT(13)	2864511605440227599	0 24 30 84 90 114 132 150 174 180 234 240 264	-565480669020
SPT(16)	2864511965023782583	0 6 24 34 54 70 96 144 286 334 360 376 396 406 424 430	-205897114036
SPT(16)	2864512079189442679	0 18 30 78 130 132 142 144 268 270 280 282 334 382 394 412	-91731453940
SPT(16)	2864512486123600271	0 18 38 78 92 110 180 182 246 248 318 336 350 390 410 428	315202703652
SPT(16)	2864512780222430263	0 64 70 76 90 174 190 244 276 330 346 430 444 450 456 520	609301533644
STPT(10)	2864512861743916049	0 2 30 32 120 122 210 212 240 242	690823019430
TPT(14)	2864512975625710307	0 2 42 44 54 56 150 152 162 164 174 176 192 194	804704813688
STPT(10)	2864513031784176527	0 2 60 62 72 74 84 86 144 146	860863279908