Prime p₀= 2308389830742817667 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2308389206049561227	0 32 42 62 110 126 146 152 180 186 206 222 270 290 300 332	-624693256440
SPT(16)	2308389232919691473	0 38 60 104 138 140 200 210 458 468 528 530 564 608 630 668	-597823126194
SPT(16)	2308389387746358823	0 60 64 88 114 156 180 216 238 274 298 340 366 390 394 454	-442996458844
STPT(10)	2308389548145502709	0 2 18 20 30 32 42 44 60 62	-282597314958
SPT(16)	2308389590363177287	0 16 40 52 114 120 142 156 220 234 256 262 324 336 360 376	-240379640380
SPT(16)	2308389710286853327	0 12 36 46 124 154 156 186 190 220 222 252 330 340 364 376	-120455964340
SPT(16)	2308390089871086653	0 50 56 60 66 84 126 188 306 368 410 428 434 438 444 494	259128268986
SPT(16)	2308390500614251421	0 26 42 78 102 158 180 198 200 218 240 296 320 356 372 398	669871433754
STPT(10)	2308390859714465717	0 2 42 44 72 74 102 104 144 146	1028971648050
STPT(10)	2308391042886136277	0 2 24 26 42 44 60 62 84 86	1212143318610
TPT(14)	2308391264417561459	0 2 12 14 78 80 90 92 132 134 138 140 180 182	1433674743792