Prime p₀= 998570971362693557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: HenkM
db: batch=76, k=10, 2 88 2 40 2

SPT(16)	998570001718386407	0 6 24 50 60 66 72 84 122 134 140 146 156 182 200 206	-969644307150
TPT(14)	998570046937943147	0 2 42 44 54 56 132 134 150 152 222 224 264 266	-924424750410
SPT(16)	998570084155317601	0 70 82 96 102 118 142 160 168 186 210 226 232 246 258 328	-887207375956
STPT(10)	998570134175219729	0 2 12 14 30 32 48 50 60 62	-837187473828
TPT(14)	998570159355912839	0 2 78 80 90 92 132 134 222 224 300 302 378 380	-812006780718
SPT(16)	998570344896713761	0 6 18 58 60 76 100 102 196 198 222 238 240 280 292 298	-626465979796
STPT(10)	998571247475248817	0 2 30 32 42 44 54 56 84 86	276112555260
STPT(10)	998571621630325451	0 2 36 38 78 80 120 122 156 158	650267631894
SPT(16)	998571913616509927	0 6 10 66 84 100 126 136 234 244 270 286 304 360 364 370	942253816370
SPT(16)	998572376310490439	0 8 24 38 50 54 120 162 170 212 278 282 294 308 324 332	1404947796882
STPT(10)	998572381045029779	0 2 18 20 30 32 42 44 60 62	1409682336222