Prime p₀= 2729574134152743089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2729572300779353423	0 6 20 36 56 78 104 108 146 150 176 198 218 234 248 254	-1833373389666
STPT(10)	2729572477450602137	0 2 54 56 72 74 90 92 144 146	-1656702140952
SPT(16)	2729572887074873123	0 8 18 50 78 140 170 176 180 186 216 278 306 338 348 356	-1247077869966
SPT(16)	2729573405671364507	0 72 84 120 126 162 164 180 206 222 224 260 266 302 314 386	-728481378582
SPT(13)	2729573606920164869	0 54 60 78 90 138 174 210 258 270 288 294 348	-527232578220
SPT(16)	2729573641912832441	0 60 68 72 102 122 152 158 390 396 426 446 476 480 488 548	-492239910648
STPT(10)	2729574221822501267	0 2 30 32 42 44 54 56 84 86	87669758178
SPT(16)	2729574357524415941	0 36 42 60 72 78 86 128 150 192 200 206 218 236 242 278	223371672852
STPT(10)	2729574738201568847	0 2 42 44 72 74 102 104 144 146	604048825758
SPT(16)	2729574954657808853	0 14 26 44 50 84 126 140 264 278 320 354 360 378 390 404	820505065764
STPT(10)	2729575083773828177	0 2 24 26 42 44 60 62 84 86	949621085088