Prime p₀= 2309601752861111711 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: FritzB
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2309600038005433123	0 30 60 130 136 144 166 178 186 198 220 228 234 304 334 364	-1714855678588
SPT(16)	2309600163943756199	0 14 20 24 42 48 90 92 150 152 194 200 218 222 228 242	-1588917355512
STPT(10)	2309600672620850417	0 2 54 56 72 74 90 92 144 146	-1080240261294
STPT(10)	2309600716739660957	0 2 30 32 42 44 54 56 84 86	-1036121450754
SPT(16)	2309600798565101297	0 26 90 102 104 116 126 146 180 200 210 222 224 236 300 326	-954296010414
STPT(10)	2309601269153474501	0 2 6 8 18 20 30 32 36 38	-483707637210
STPT(10)	2309601921987700391	0 2 6 8 18 20 30 32 36 38	169126588680
STPT(10)	2309601954573780047	0 2 24 26 42 44 60 62 84 86	201712668336
TPT(14)	2309601987774908921	0 2 48 50 96 98 120 122 210 212 276 278 360 362	234913797210
STPT(10)	2309602107460538687	0 2 30 32 42 44 54 56 84 86	354599426976
SPT(16)	2309602141640479001	0 12 26 30 56 78 98 110 138 150 170 192 218 222 236 248	388779367290