Prime p₀= 2592564267263545427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Roadranner
db: batch=82, k=10, 2 28 2 40 2

STPT(10)	2592561591219428999	0 2 18 20 30 32 42 44 60 62	-2676044116428
SPT(16)	2592561829839523429	0 12 42 52 54 70 118 142 150 174 222 238 240 250 280 292	-2437424021998
SPT(16)	2592563073409298701	0 18 28 46 126 130 138 150 208 220 228 232 312 330 340 358	-1193854246726
SPT(16)	2592563106683821483	0 4 24 66 88 114 130 148 156 174 190 216 238 280 300 304	-1160579723944
SPT(16)	2592563569914665299	0 28 30 42 78 84 102 184 198 280 298 304 340 352 354 382	-697348880128
STPT(10)	2592563943208220879	0 2 30 32 120 122 210 212 240 242	-324055324548
TPT(14)	2592564788694806699	0 2 42 44 48 50 72 74 270 272 312 314 408 410	521431261272
SPT(16)	2592564868364041811	0 6 18 30 32 60 78 108 140 170 188 216 218 230 242 248	601100496384
STPT(10)	2592565685299680059	0 2 12 14 30 32 48 50 60 62	1418036134632
STPT(10)	2592565934918653667	0 2 30 32 42 44 54 56 84 86	1667655108240
SPT(16)	2592566091265896349	0 28 30 70 90 114 148 154 198 204 238 262 282 322 324 352	1824002350922