Prime p₀= 2499275462426233259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2499274516584271271	0 2 20 26 30 32 48 72 86 110 126 128 132 138 156 158	-945841961988
STPT(10)	2499274733136132737	0 2 30 32 120 122 210 212 240 242	-729290100522
STPT(10)	2499275100678111317	0 2 42 44 72 74 102 104 144 146	-361748121942
SPT(16)	2499275103084673387	0 96 132 136 162 166 192 246 250 304 330 334 360 364 400 496	-359341559872
SPT(16)	2499275342683615571	0 32 50 66 260 270 320 330 392 402 452 462 656 672 690 722	-119742617688
SPT(16)	2499275388508712563	0 16 54 106 120 126 150 156 178 184 208 214 228 280 318 334	-73917520696
SPT(16)	2499275483906683037	0 2 14 24 30 92 114 132 164 182 204 266 272 282 294 296	21480449778
STPT(10)	2499275729532188879	0 2 18 20 30 32 42 44 60 62	267105955620
TPT(14)	2499276304983766949	0 2 18 20 90 92 132 134 210 212 258 260 300 302	842557533690
SPT(16)	2499276408641539477	0 30 46 52 70 84 114 142 144 172 202 216 234 240 256 286	946215306218
STPT(10)	2499276540562664381	0 2 78 80 138 140 198 200 276 278	1078136431122