Prime p₀= 2886217009935023507 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2886216051521327647	0 16 72 100 136 154 174 180 196 202 222 240 276 304 360 376	-958413695860
SPT(16)	2886216152049263303	0 96 110 116 134 174 176 200 204 228 230 270 288 294 308 404	-857885760204
SPT(16)	2886216277942088491	0 46 52 88 136 156 168 190 318 340 352 372 420 456 462 508	-731992935016
STPT(10)	2886216684266305847	0 2 30 32 72 74 114 116 144 146	-325668717660
STPT(10)	2886216708957019127	0 2 30 32 42 44 54 56 84 86	-300978004380
SPT(16)	2886216982179486533	0 14 54 146 188 210 224 246 278 300 314 336 378 470 510 524	-27755536974
STPT(10)	2886217055688385379	0 2 30 32 120 122 210 212 240 242	45753361872
SPT(16)	2886217325891774759	0 20 24 62 80 84 92 114 188 210 218 222 240 278 282 302	315956751252
SPT(16)	2886217433607308243	0 84 144 150 156 164 174 176 198 200 210 218 224 230 290 374	423672284736
STPT(10)	2886218218160035901	0 2 6 8 18 20 30 32 36 38	1208225012394
SPT(16)	2886218522895321727	0 12 40 42 70 84 210 252 292 334 460 474 502 504 532 544	1512960298220