Prime p₀= 2456307828273812267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2456307007987986407	0 2 50 60 92 116 122 200 216 294 300 324 356 366 414 416	-820285825860
STPT(10)	2456307114172706189	0 2 48 50 90 92 132 134 180 182	-714101106078
SPT(16)	2456307383595515189	0 12 42 48 50 60 84 120 242 278 302 312 314 320 350 362	-444678297078
STPT(10)	2456307539346952901	0 2 30 32 78 80 126 128 156 158	-288926859366
SPT(16)	2456307686984592037	0 22 34 84 174 214 252 270 346 364 402 442 532 582 594 616	-141289220230
SPT(18)	2456307713780821841	0 36 62 72 90 98 128 162 188 240 266 300 330 338 356 366 392 428	-114492990426
STPT(12)	2456308958387194397	0 2 90 92 132 134 222 224 264 266 354 356	1130113382130
SPT(16)	2456309362637671193	0 6 20 56 98 120 134 170 174 210 224 246 288 324 338 344	1534363858926
SPT(16)	2456309393742968329	0 18 108 118 150 172 228 234 238 244 300 322 354 364 454 472	1565469156062
SPT(16)	2456309497757959807	0 6 12 52 82 106 112 124 132 144 150 174 204 244 250 256	1669484147540
STPT(12)	2456309570700620849	0 2 12 14 42 44 60 62 90 92 102 104	1742426808582