Prime p₀= 2776288609052206067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2776286594403141649	0 30 40 42 64 78 88 180 232 324 334 348 370 372 382 412	-2014649064418
SPT(16)	2776287026581802231	0 2 18 56 68 78 102 108 170 176 200 210 222 260 276 278	-1582470403836
SPT(16)	2776287235088206481	0 32 68 92 120 140 176 180 188 192 228 248 276 300 336 368	-1373963999586
STPT(10)	2776287643131468647	0 2 30 32 42 44 54 56 84 86	-965920737420
STPT(10)	2776288050347041199	0 2 12 14 30 32 48 50 60 62	-558705164868
SPT(16)	2776288591011764099	0 8 12 24 38 42 74 90 152 168 200 204 218 230 234 242	-18040441968
STPT(10)	2776288648871670377	0 2 30 32 42 44 54 56 84 86	39819464310
STPT(10)	2776289198758820747	0 2 30 32 72 74 114 116 144 146	589706614680
SPT(16)	2776290089777423623	0 18 34 48 70 88 94 106 108 120 126 144 166 180 196 214	1480725217556
SPT(16)	2776290200218130833	0 6 18 28 76 138 144 160 234 250 256 318 366 376 388 394	1591165924766
SPT(16)	2776291079282497927	0 10 12 52 54 82 96 132 184 220 234 262 264 304 306 316	2470230291860