Prime p₀= 822624389142385787 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: GLeeM
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	822623574757917587	0 2 54 56 72 74 90 92 144 146	-814384468200
SPT(16)	822623593034881037	0 2 14 50 66 80 96 114 122 140 156 170 186 222 234 236	-796107504750
STPT(10)	822623661269315987	0 2 42 44 72 74 102 104 144 146	-727873069800
STPT(12)	822623769354368549	0 2 12 14 162 164 168 170 318 320 330 332	-619788017238
SPT(16)	822624182597066351	0 50 60 140 150 168 188 206 270 288 308 326 336 416 426 476	-206545319436
SPT(16)	822624339733556417	0 72 74 92 110 114 116 120 176 180 182 186 204 222 224 296	-49408829370
SPT(16)	822624800680084081	0 52 96 120 148 166 190 198 220 228 252 270 298 322 366 418	411537698294
SPT(16)	822624933781059347	0 26 72 96 116 120 162 180 182 200 242 246 266 290 336 362	544638673560
SPT(16)	822625364311925021	0 42 60 80 86 96 138 152 156 170 212 222 228 248 266 308	975169539234
STPT(12)	822625589897600429	0 2 12 14 42 44 48 50 78 80 90 92	1200755214642
STPT(10)	822626074672682219	0 2 18 20 30 32 42 44 60 62	1685530296432