Prime p₀= 1019864409157906997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: HenkM
db: batch=76, k=10, 2 22 2 16 2

STPT(12)	1019863752331256891	0 2 36 38 48 50 78 80 90 92 126 128	-656826650106
SPT(16)	1019863854732474443	0 48 68 86 110 128 200 228 278 306 378 396 420 438 458 506	-554425432554
SPT(16)	1019863888294188191	0 38 102 132 176 210 246 248 270 272 308 342 386 416 480 518	-520863718806
STPT(10)	1019864035786298357	0 2 30 32 72 74 114 116 144 146	-373371608640
SPT(16)	1019864065487550697	0 16 22 30 66 100 156 186 190 220 276 310 346 354 360 376	-343670356300
STPT(10)	1019864272672986161	0 2 36 38 78 80 120 122 156 158	-136484920836
SPT(16)	1019864671458405427	0 22 40 64 100 114 130 142 144 156 172 186 222 246 264 286	262300498430
SPT(16)	1019864711097560567	0 12 42 120 126 150 206 222 290 306 362 386 392 470 500 512	301939653570
STPT(10)	1019864811791753657	0 2 30 32 72 74 114 116 144 146	402633846660
SPT(16)	1019864923427973341	0 12 102 138 222 242 258 272 306 320 336 356 440 476 566 578	514270066344
STPT(10)	1019865090508705667	0 2 30 32 72 74 114 116 144 146	681350798670