Prime p₀= 2774563877031486887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JonS
db: batch=82, k=10, 2 10 2 28 2

SPT(18)	2774562943078398067	0 4 22 52 60 84 100 114 142 192 220 234 250 274 282 312 330 334	-933953088820
TPT(14)	2774562952242183857	0 2 42 44 72 74 150 152 210 212 240 242 462 464	-924789303030
SPT(18)	2774563159917975733	0 4 30 46 76 114 124 130 160 264 294 300 310 348 378 394 420 424	-717113511154
SPT(16)	2774563518555874337	0 42 50 56 80 144 146 152 174 180 182 246 270 276 284 326	-358475612550
STPT(10)	2774563568892184211	0 2 6 8 18 20 30 32 36 38	-308139302676
SPT(16)	2774563711102852313	0 24 30 56 84 116 138 144 260 266 288 320 348 374 380 404	-165928634574
SPT(16)	2774564086576969517	0 12 24 26 50 62 152 176 180 204 294 306 330 332 344 356	209545482630
STPT(10)	2774564913486143747	0 2 30 32 72 74 114 116 144 146	1036454656860
SPT(16)	2774564983613109677	0 2 14 60 102 104 146 156 170 180 222 224 266 312 324 326	1106581622790
STPT(10)	2774565025581758207	0 2 30 32 42 44 54 56 84 86	1148550271320
SPT(16)	2774565248946926177	0 2 12 72 110 140 164 200 204 240 264 294 332 392 402 404	1371915439290