Prime p₀= 2697017945957666657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Dirk Broer
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2697014870774358331	0 18 42 66 70 112 138 190 228 280 306 348 352 376 400 418	-3075183308326
TPT(14)	2697016049648703617	0 2 42 44 72 74 90 92 132 134 174 176 240 242	-1896308963040
STPT(10)	2697016392767268191	0 2 6 8 48 50 90 92 96 98	-1553190398466
SPT(16)	2697017074944153457	0 30 40 42 60 82 90 112 144 166 174 196 214 216 226 256	-871013513200
SPT(16)	2697017324242189283	0 44 56 60 86 140 210 230 234 254 324 378 404 408 420 464	-621715477374
STPT(10)	2697017885876229269	0 2 48 50 90 92 132 134 180 182	-60081437388
SPT(18)	2697018297033303253	0 54 70 114 138 154 156 196 208 366 378 418 420 436 460 504 520 574	351075636596
SPT(16)	2697018541711787533	0 6 28 58 84 100 106 120 154 168 174 190 216 246 268 274	595754120876
STPT(10)	2697018635137359227	0 2 30 32 60 62 90 92 120 122	689179692570
STPT(12)	2697019269013175759	0 2 42 44 48 50 72 74 78 80 120 122	1323055509102
STPT(10)	2697019295547846287	0 2 12 14 72 74 132 134 144 146	1349590179630