Prime p₀= 2112913675679554817 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: gemini8
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2112912541639799257	0 4 30 42 54 96 102 106 120 124 130 172 184 196 222 226	-1134039755560
STPT(10)	2112912575025753269	0 2 18 20 30 32 42 44 60 62	-1100653801548
SPT(16)	2112913015335587561	0 26 48 90 180 228 248 266 270 288 308 356 446 488 510 536	-660343967256
STPT(10)	2112913258996943099	0 2 12 14 90 92 168 170 180 182	-416682611718
SPT(16)	2112913639053055127	0 14 44 56 102 126 156 174 212 230 260 284 330 342 372 386	-36626499690
SPT(16)	2112913665627415241	0 2 8 26 50 120 188 206 222 240 308 378 402 420 426 428	-10052139576
SPT(16)	2112913690527309793	0 18 28 96 210 216 238 300 334 396 418 424 538 606 616 634	14847754976
SPT(16)	2112913828275187409	0 38 44 72 84 90 114 164 198 248 272 278 290 318 324 362	152595632592
SPT(16)	2112914181821138159	0 14 24 44 104 122 128 140 192 204 210 228 288 308 318 332	506141583342
SPT(16)	2112914334804749243	0 8 14 56 74 78 96 126 158 188 206 210 228 270 276 284	659125194426
SPT(16)	2112915217358727443	0 18 60 114 126 200 228 230 264 266 294 368 380 434 476 494	1541679172626