Prime p₀= 2864513031784176527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: [SG]ATA-Rolf
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2864512079189442679	0 18 30 78 130 132 142 144 268 270 280 282 334 382 394 412	-952594733848
STPT(10)	2864512170920896619	0 2 12 14 90 92 168 170 180 182	-860863279908
SPT(16)	2864512486123600271	0 18 38 78 92 110 180 182 246 248 318 336 350 390 410 428	-545660576256
SPT(16)	2864512780222430263	0 64 70 76 90 174 190 244 276 330 346 430 444 450 456 520	-251561746264
STPT(10)	2864512861743916049	0 2 30 32 120 122 210 212 240 242	-170040260478
TPT(14)	2864512975625710307	0 2 42 44 54 56 150 152 162 164 174 176 192 194	-56158466220
STPT(10)	2864513695854269321	0 2 36 38 78 80 120 122 156 158	664070092794
STPT(10)	2864513741334251339	0 2 12 14 90 92 168 170 180 182	709550074812
STPT(10)	2864514085156852949	0 2 18 20 30 32 42 44 60 62	1053372676422
SPT(16)	2864514517974770131	0 18 30 42 48 102 108 120 240 252 258 312 318 330 342 360	1486190593604
SPT(16)	2864514569077562059	0 18 42 72 102 112 124 168 184 228 240 250 280 310 334 352	1537293385532