Prime p₀= 2299908731046542129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2299907145292178749	0 4 40 42 82 84 88 118 174 204 208 210 250 252 288 292	-1585754363380
SPT(16)	2299907501765169071	0 2 32 42 68 140 156 158 180 182 198 270 296 306 336 338	-1229281373058
STPT(10)	2299907525659657391	0 2 30 32 78 80 126 128 156 158	-1205386884738
SPT(16)	2299907791509953459	0 24 32 38 42 60 98 158 174 234 272 290 294 300 308 332	-939536588670
SPT(16)	2299907840898609077	0 12 36 54 96 120 224 230 246 252 356 380 422 440 464 476	-890147933052
SPT(16)	2299908271439202379	0 18 70 118 124 180 228 244 294 310 358 414 420 468 520 538	-459607339750
STPT(10)	2299908760512479297	0 2 24 26 42 44 60 62 84 86	29465937168
STPT(10)	2299908856744766219	0 2 78 80 120 122 162 164 240 242	125698224090
STPT(10)	2299909108244024489	0 2 42 44 60 62 78 80 120 122	377197482360
SPT(16)	2299909311946416341	0 36 42 86 90 92 110 132 176 198 216 218 222 266 272 308	580899874212
SPT(16)	2299909478785279901	0 12 30 42 86 122 126 140 192 206 210 246 290 302 320 332	747738737772