Prime p₀= 2313242691885916127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2313241751088504013	0 4 10 46 60 66 156 178 186 208 298 304 318 354 360 364	-940797412114
SPT(16)	2313242055358089943	0 10 24 94 114 118 138 154 180 196 216 220 240 310 324 334	-636527826184
SPT(16)	2313242389846277917	0 24 34 42 76 112 132 136 150 154 174 210 244 252 262 286	-302039638210
STPT(10)	2313242452849867937	0 2 30 32 72 74 114 116 144 146	-239036048190
SPT(18)	2313242499800001391	0 10 18 52 72 108 112 142 150 178 186 216 220 256 276 310 318 328	-192085914736
TPT(14)	2313242652819792047	0 2 30 32 72 74 132 134 144 146 210 212 264 266	-39066124080
SPT(16)	2313242801585615299	0 22 30 58 64 70 88 108 184 204 222 228 234 262 270 292	109699699172
SPT(16)	2313243063932639401	0 40 70 72 142 160 180 198 220 238 258 276 346 348 378 418	372046723274
SPT(16)	2313243305833175467	0 64 70 72 126 142 160 202 204 246 264 280 334 336 342 406	613947259340
STPT(10)	2313244266870269009	0 2 12 14 90 92 168 170 180 182	1574984352882
STPT(10)	2313244643811970439	0 2 18 20 30 32 42 44 60 62	1951926054312