Prime p₀= 2367360372039501791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: eclipse99
db: batch=81, k=10, 2 76 2 58 2

SPT(16)	2367359487294290443	0 36 40 66 106 108 136 138 166 168 196 198 238 264 268 304	-884745211348
STPT(10)	2367359606430649937	0 2 12 14 42 44 72 74 84 86	-765608851854
SPT(16)	2367359638872596363	0 20 74 78 86 128 156 176 198 218 246 288 296 300 354 374	-733166905428
STPT(10)	2367359834999333651	0 2 36 38 78 80 120 122 156 158	-537040168140
SPT(16)	2367359924285646271	0 46 60 70 72 76 90 112 150 172 186 190 192 202 216 262	-447753855520
SPT(16)	2367359993009777791	0 36 48 102 120 132 142 168 190 216 226 238 256 310 322 358	-379029724000
SPT(16)	2367360537309266237	0 32 36 84 92 96 110 170 186 246 260 264 272 320 324 356	165269764446
STPT(10)	2367360815920428509	0 2 18 20 30 32 42 44 60 62	443880926718
SPT(16)	2367361066866052843	0 94 136 150 196 244 300 304 336 340 396 444 490 504 546 640	694826551052
SPT(16)	2367361427840784451	0 6 72 108 156 186 192 198 280 286 292 322 370 406 472 478	1055801282660
SPT(16)	2367362342748636967	0 6 24 30 40 70 76 82 84 90 96 126 136 142 160 166	1970709135176