Prime p₀= 2782905627218655317 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2782904906257022191	0 52 60 72 78 88 172 210 298 336 420 430 436 448 456 508	-720961633126
STPT(10)	2782905159255161909	0 2 48 50 90 92 132 134 180 182	-467963493408
SPT(16)	2782905167166364631	0 48 56 66 86 108 138 146 150 158 188 210 230 240 248 296	-460052290686
SPT(16)	2782905357253170739	0 58 72 94 108 120 142 162 220 240 262 274 288 310 324 382	-269965484578
TPT(14)	2782905357757017677	0 2 30 32 84 86 132 134 174 176 294 296 354 356	-269461637640
STPT(10)	2782905360107405051	0 2 36 38 78 80 120 122 156 158	-267111250266
TPT(14)	2782905664687226357	0 2 12 14 24 26 30 32 54 56 102 104 210 212	37468571040
SPT(13)	2782906094444219351	0 6 48 60 66 90 108 126 150 156 168 210 216	467225564034
SPT(16)	2782906412828904689	0 54 74 90 98 110 204 288 290 374 468 480 488 504 524 578	785610249372
STPT(10)	2782906677052944227	0 2 30 32 60 62 90 92 120 122	1049834288910
STPT(10)	2782906882819591709	0 2 18 20 30 32 42 44 60 62	1255600936392