Prime p₀= 2592565685299680059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2592563106683821483	0 4 24 66 88 114 130 148 156 174 190 216 238 280 300 304	-2578615858576
SPT(16)	2592563569914665299	0 28 30 42 78 84 102 184 198 280 298 304 340 352 354 382	-2115385014760
STPT(10)	2592563943208220879	0 2 30 32 120 122 210 212 240 242	-1742091459180
STPT(10)	2592564267263545427	0 2 30 32 72 74 114 116 144 146	-1418036134632
TPT(14)	2592564788694806699	0 2 42 44 48 50 72 74 270 272 312 314 408 410	-896604873360
SPT(16)	2592564868364041811	0 6 18 30 32 60 78 108 140 170 188 216 218 230 242 248	-816935638248
STPT(10)	2592565934918653667	0 2 30 32 42 44 54 56 84 86	249618973608
SPT(16)	2592566091265896349	0 28 30 70 90 114 148 154 198 204 238 262 282 322 324 352	405966216290
STPT(10)	2592566231214339617	0 2 30 32 42 44 54 56 84 86	545914659558
SPT(16)	2592566315458544081	0 42 48 86 128 138 140 152 186 198 200 210 252 290 296 338	630158864022
SPT(16)	2592566562042714541	0 72 88 100 142 162 172 198 202 228 238 258 300 312 328 400	876743034482