Prime p₀= 3105570493605149747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: pelpolaris
db: batch=83, k=10, 2 58 2 40 2

SPT(16)	3105568741823384839	0 34 48 114 132 142 162 168 184 190 210 220 238 304 318 352	-1751781764908
TPT(14)	3105568777474755281	0 2 18 20 60 62 96 98 126 128 186 188 336 338	-1716130394466
SPT(16)	3105568815744970651	0 10 40 48 150 168 196 270 286 360 388 406 508 516 546 556	-1677860179096
STPT(12)	3105569539929649547	0 2 30 32 42 44 60 62 72 74 102 104	-953675500200
SPT(16)	3105570240828404963	0 8 50 84 126 164 228 234 410 416 480 518 560 594 636 644	-252776744784
SPT(16)	3105570438280890887	0 6 20 24 66 80 84 90 146 152 156 170 212 216 230 236	-55324258860
STPT(10)	3105570510235605077	0 2 12 14 42 44 72 74 84 86	16630455330
SPT(16)	3105570707106737027	0 26 56 90 104 110 114 126 140 152 156 162 176 210 240 266	213501587280
SPT(16)	3105570772721602693	0 34 36 54 70 96 156 184 186 214 274 300 316 334 336 370	279116452946
STPT(10)	3105571096383010007	0 2 30 32 42 44 54 56 84 86	602777860260
SPT(16)	3105571386236306531	0 12 20 26 38 48 62 92 96 126 140 150 162 168 176 188	892631156784