Prime p₀= 2712386000809248521 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2712385400545227007	0 6 30 40 42 82 84 102 124 142 144 184 186 196 220 226	-600264021514
SPT(16)	2712385465514305159	0 10 18 82 90 108 168 178 252 262 322 340 348 412 420 430	-535294943362
SPT(16)	2712385534550372383	0 40 70 126 178 180 238 258 268 288 346 348 400 456 486 526	-466258876138
STPT(12)	2712385792114072757	0 2 42 44 60 62 72 74 90 92 132 134	-208695175764
STPT(10)	2712385826077661009	0 2 48 50 90 92 132 134 180 182	-174731587512
SPT(16)	2712385829554509193	0 46 54 64 126 130 138 148 186 196 204 208 270 280 288 334	-171254739328
SPT(16)	2712386184659261239	0 28 84 100 108 114 154 180 262 288 328 334 342 358 414 442	183850012718
STPT(12)	2712386449650670517	0 2 30 32 60 62 72 74 102 104 132 134	448841421996
SPT(18)	2712386549159480057	0 20 36 50 62 72 86 96 140 336 380 390 404 414 426 440 456 476	548350231536
STPT(12)	2712386603099159639	0 2 30 32 42 44 78 80 90 92 120 122	602289911118
STPT(10)	2712386686788034391	0 2 36 38 78 80 120 122 156 158	685978785870