Prime p₀= 2098588284201633839 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2098587460527488549	0 2 12 14 90 92 222 224 258 260 300 302 318 320	-823674145290
STPT(10)	2098587672082252469	0 2 18 20 30 32 42 44 60 62	-612119381370
STPT(12)	2098587699782597477	0 2 42 44 102 104 180 182 240 242 282 284	-584419036362
SPT(16)	2098587734318588987	0 12 36 62 80 92 104 122 204 222 234 246 264 290 314 326	-549883044852
TPT(14)	2098587987308359241	0 2 36 38 78 80 198 200 210 212 288 290 426 428	-296893274598
SPT(16)	2098588001959157549	0 8 38 42 54 140 168 170 192 194 222 308 320 324 354 362	-282242476290
STPT(10)	2098588496381165207	0 2 42 44 72 74 102 104 144 146	212179531368
SPT(16)	2098588531830665447	0 2 14 44 60 62 102 110 174 182 222 224 240 270 282 284	247629031608
STPT(10)	2098588557555257819	0 2 18 20 60 62 102 104 120 122	273353623980
SPT(16)	2098588595214311987	0 2 132 140 150 156 164 174 272 282 290 296 306 314 444 446	311012678148
STPT(10)	2098589092789978289	0 2 48 50 90 92 132 134 180 182	808588344450