Prime p₀= 2320318516657153697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2320318024815608557	0 4 22 82 84 106 124 126 130 132 150 172 174 234 252 256	-491841545140
TPT(14)	2320318052055836981	0 2 30 32 36 38 96 98 120 122 126 128 168 170	-464601316716
STPT(10)	2320318290498614927	0 2 54 56 132 134 210 212 264 266	-226158538770
SPT(16)	2320318321389228847	0 30 36 64 70 84 100 124 126 150 166 180 186 214 220 250	-195267924850
STPT(10)	2320318374934885607	0 2 42 44 72 74 102 104 144 146	-141722268090
SPT(16)	2320318404095182549	0 10 24 34 42 94 114 132 220 238 258 310 318 328 342 352	-112561971148
STPT(10)	2320318594643051879	0 2 30 32 60 62 90 92 120 122	77985898182
SPT(16)	2320318657845337741	0 16 30 40 100 106 118 138 148 168 180 186 246 256 270 286	141188184044
SPT(16)	2320318678963013699	0 18 54 68 120 122 132 144 308 320 330 332 384 398 434 452	162305860002
SPT(16)	2320319117474697959	0 48 60 74 78 138 180 240 242 302 344 404 408 422 434 482	600817544262
SPT(16)	2320319555344755967	0 60 84 114 144 156 160 190 366 396 400 412 442 472 496 556	1038687602270