Prime p₀= 2343591616987786181 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Groo
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2343589568612404793	0 20 38 90 128 200 224 228 296 300 324 396 434 486 504 524	-2048375381388
STPT(10)	2343590098893723731	0 2 6 8 18 20 30 32 36 38	-1518094062450
SPT(16)	2343590635761899659	0 4 18 58 84 88 94 154 174 234 240 244 270 310 324 328	-981225886522
SPT(16)	2343590818443966719	0 18 102 108 138 168 180 192 260 272 284 314 344 350 434 452	-798543819462
STPT(10)	2343590827605054227	0 2 30 32 72 74 114 116 144 146	-789382731954
SPT(16)	2343591048626735939	0 14 30 54 92 114 132 168 224 260 278 300 338 362 378 392	-568361050242
SPT(16)	2343591812652470593	0 10 24 48 76 90 108 160 174 226 244 258 286 310 324 334	195664684412
STPT(10)	2343591981129798569	0 2 18 20 30 32 42 44 60 62	364142012388
SPT(16)	2343592114262321203	0 36 40 46 84 94 130 154 180 204 240 250 288 294 298 334	497274535022
SPT(16)	2343592357975676069	0 92 108 198 204 240 272 302 330 360 392 428 434 524 540 632	740987889888
STPT(10)	2343592516021240871	0 2 30 32 78 80 126 128 156 158	899033454690