Prime p₀= 1025491116368013467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1025490484425235211	0 36 50 62 66 92 102 140 168 206 216 242 246 258 272 308	-631942778256
SPT(16)	1025490667523005337	0 2 12 14 20 30 42 54 122 134 146 156 162 164 174 176	-448845008130
STPT(10)	1025490866264296931	0 2 36 38 78 80 120 122 156 158	-250103716536
SPT(16)	1025490962126747411	0 18 26 38 42 96 116 138 140 162 182 236 240 252 260 278	-154241266056
STPT(10)	1025490993575741387	0 2 30 32 60 62 90 92 120 122	-122792272080
STPT(10)	1025491086693857387	0 2 90 92 102 104 114 116 204 206	-29674156080
SPT(16)	1025491173918584767	0 6 10 30 42 52 60 66 136 142 150 160 172 192 196 202	57550571300
SPT(16)	1025491259243056313	0 24 60 68 86 108 134 140 264 270 296 318 336 344 380 404	142875042846
SPT(16)	1025491350347862239	0 24 48 50 62 98 114 128 204 218 234 270 282 284 308 332	233979848772
TPT(14)	1025491482689752469	0 2 18 20 42 44 72 74 108 110 150 152 180 182	366321739002
STPT(10)	1025491535574804887	0 2 30 32 42 44 54 56 84 86	419206791420