Prime p₀= 2233686322785291131 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: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2233685230882883497	0 12 30 42 70 76 132 166 186 220 276 282 310 322 340 352	-1091902407634
SPT(16)	2233685638777456739	0 12 14 80 84 98 122 140 222 240 264 278 282 348 350 362	-684007834392
SPT(16)	2233685643396201377	0 26 84 92 110 122 132 140 216 224 234 246 264 272 330 356	-679389089754
SPT(16)	2233685752996824199	0 10 24 40 54 72 82 108 124 150 160 178 192 208 222 232	-569788466932
STPT(10)	2233685949400183319	0 2 18 20 30 32 42 44 60 62	-373385107812
SPT(16)	2233686074134962269	0 20 60 78 84 92 98 110 162 174 180 188 194 212 252 272	-248650328862
SPT(16)	2233686947500162103	0 6 8 36 66 78 96 134 180 218 236 248 278 306 308 314	624714870972
SPT(16)	2233687014819193177	0 4 60 76 82 84 90 100 126 136 142 144 150 166 222 226	692033902046
TPT(14)	2233687118377189817	0 2 84 86 192 194 222 224 234 236 240 242 270 272	795591898686
SPT(16)	2233687286127066313	0 4 34 40 48 84 124 148 150 174 214 250 258 264 294 298	963341775182
SPT(16)	2233687780267131919	0 12 24 142 148 180 184 190 252 258 262 294 300 418 430 442	1457481840788