Prime p₀= 2315856682610011139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2315855341252049327	0 14 26 56 80 84 86 104 132 150 152 156 180 210 222 236	-1341357961812
STPT(10)	2315856013681148759	0 2 78 80 120 122 162 164 240 242	-668928862380
STPT(10)	2315856089684347841	0 2 78 80 138 140 198 200 276 278	-592925663298
SPT(16)	2315856370899298211	0 90 102 140 216 248 260 270 308 318 330 362 438 476 488 578	-311710712928
STPT(10)	2315856374683902101	0 2 6 8 18 20 30 32 36 38	-307926109038
STPT(10)	2315856520599749339	0 2 42 44 60 62 78 80 120 122	-162010261800
SPT(16)	2315856753372260821	0 28 72 120 130 142 150 220 378 448 456 468 478 526 570 598	70762249682
SPT(16)	2315856947610339877	0 22 60 76 112 126 132 142 174 184 190 204 240 256 294 316	265000328738
STPT(10)	2315857088823640289	0 2 48 50 90 92 132 134 180 182	406213629150
TPT(14)	2315857375445856689	0 2 30 32 108 110 150 152 252 254 360 362 402 404	692835845550
STPT(10)	2315857716995289947	0 2 30 32 42 44 54 56 84 86	1034385278808