Prime p₀= 2300347667110456721 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: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2300346468381776917	0 4 12 40 60 70 82 180 244 342 354 364 384 412 420 424	-1198728679804
STPT(10)	2300347188615292259	0 2 42 44 60 62 78 80 120 122	-478495164462
SPT(16)	2300347231074091783	0 24 36 58 106 114 124 136 168 180 190 198 246 268 280 304	-436036364938
STPT(10)	2300347387810063937	0 2 42 44 72 74 102 104 144 146	-279300392784
SPT(13)	2300347408875121313	0 30 60 108 156 186 198 210 240 288 336 366 396	-258235335408
STPT(10)	2300347462479219017	0 2 42 44 72 74 102 104 144 146	-204631237704
SPT(16)	2300347814552145299	0 2 8 68 74 78 84 102 110 128 134 138 144 204 210 212	147441688578
SPT(16)	2300348181172986023	0 18 30 56 74 114 144 146 198 200 230 270 288 314 326 344	514062529302
STPT(10)	2300348205941651681	0 2 6 8 48 50 90 92 96 98	538831194960
SPT(16)	2300348271938619349	0 10 58 90 130 150 172 184 228 240 262 282 322 354 402 412	604828162628
SPT(16)	2300348296416155341	0 46 70 82 88 118 130 166 222 258 270 300 306 318 342 388	629305698620