Prime p₀= 2727164828397530627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2727164101750386059	0 38 48 60 110 138 158 192 230 264 284 312 362 374 384 422	-726647144568
STPT(10)	2727164295479657879	0 2 18 20 30 32 42 44 60 62	-532917872748
SPT(16)	2727164314868059889	0 8 20 42 60 78 92 140 180 228 242 260 278 300 312 320	-513529470738
SPT(16)	2727164544159455003	0 14 48 80 90 140 158 168 206 216 234 284 294 326 360 374	-284238075624
STPT(10)	2727164594031316037	0 2 30 32 42 44 54 56 84 86	-234366214590
SPT(16)	2727164781209204851	0 12 42 48 58 82 118 138 160 180 216 240 250 256 286 298	-47188325776
SPT(16)	2727164856073041169	0 4 34 70 100 168 174 198 214 238 244 312 342 378 408 412	27675510542
SPT(16)	2727164913923815879	0 10 12 24 40 108 114 120 142 148 154 222 238 250 252 262	85526285252
SPT(16)	2727165243888243307	0 22 30 36 70 100 102 120 136 154 156 186 220 226 234 256	415490712680
SPT(16)	2727165590082545021	0 20 48 68 78 92 126 132 146 152 186 200 210 230 258 278	761685014394
STPT(10)	2727166142283465941	0 2 36 38 78 80 120 122 156 158	1313885935314