Prime p₀= 2999239601357745839 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: Marion1
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2999237738152710709	0 22 40 70 72 78 88 100 102 114 124 130 132 162 180 202	-1863205035130
SPT(13)	2999237740777571851	0 6 18 48 60 90 138 186 216 228 258 270 276	-1860580173988
TPT(14)	2999237756634292907	0 2 42 44 54 56 282 284 294 296 420 422 450 452	-1844723452932
STPT(10)	2999237930635943177	0 2 30 32 42 44 54 56 84 86	-1670721802662
TPT(14)	2999238139653518531	0 2 18 20 30 32 60 62 108 110 138 140 270 272	-1461704227308
SPT(16)	2999238646824253861	0 52 66 70 112 256 258 396 412 550 552 696 738 742 756 808	-954533491978
SPT(16)	2999239760746559921	0 8 26 42 50 56 78 86 162 170 192 198 206 222 240 248	159388814082
STPT(10)	2999239762689783971	0 2 78 80 138 140 198 200 276 278	161332038132
SPT(16)	2999241167671935031	0 18 60 102 108 132 138 160 228 250 256 280 286 328 370 388	1566314189192
STPT(10)	2999241599730979817	0 2 30 32 42 44 54 56 84 86	1998373233978
SPT(16)	2999241643156598473	0 18 28 30 54 78 90 118 126 154 166 190 214 216 226 244	2041798852634