Prime p₀= 2785413136151612147 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2785411870648206517	0 4 12 22 46 54 64 84 202 222 232 240 264 274 282 286	-1265503405630
TPT(14)	2785412367845570129	0 2 18 20 30 32 60 62 132 134 162 164 168 170	-768306042018
STPT(12)	2785412494966186571	0 2 48 50 78 80 90 92 120 122 168 170	-641185425576
SPT(16)	2785412524631475499	0 4 24 40 52 60 124 132 172 180 244 252 264 280 300 304	-611520136648
STPT(10)	2785412579729772737	0 2 90 92 132 134 174 176 264 266	-556421839410
SPT(16)	2785412744378196943	0 10 24 108 154 178 220 244 300 324 366 390 436 520 534 544	-391773415204
TPT(14)	2785414102078386047	0 2 12 14 24 26 90 92 192 194 360 362 372 374	965926773900
SPT(16)	2785414151742221749	0 40 172 198 208 210 214 234 298 318 322 324 334 360 492 532	1015590609602
SPT(18)	2785414312328932847	0 2 12 14 30 50 104 114 140 294 320 330 384 404 420 422 432 434	1176177320700
SPT(16)	2785414712987057813	0 6 48 68 90 114 138 156 158 176 200 224 246 266 308 314	1576835445666
SPT(16)	2785415059411694599	0 54 102 142 198 238 250 324 418 492 504 544 600 640 688 742	1923260082452