Prime p₀= 3091645084887237677 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: L@MiR
db: batch=83, k=10, 2 28 2 10 2

SPT(16)	3091644086126194073	0 18 26 30 48 90 114 126 128 140 164 206 224 228 236 254	-998761043604
SPT(16)	3091644513035150971	0 12 16 40 42 78 90 100 138 148 160 196 198 222 226 238	-571852086706
SPT(16)	3091644531713385017	0 2 6 32 54 60 104 152 174 222 266 272 294 320 324 326	-553173852660
SPT(16)	3091644822872556077	0 30 32 44 50 92 96 140 156 200 204 246 252 264 266 296	-262014681600
SPT(13)	3091644868948261961	0 30 60 96 102 126 156 186 210 216 252 282 312	-215938975716
SPT(16)	3091644980549320991	0 32 80 108 132 138 158 182 228 252 272 278 302 330 378 410	-104337916686
STPT(10)	3091645210058262761	0 2 78 80 138 140 198 200 276 278	125171025084
SPT(16)	3091645777546657571	0 36 42 48 66 80 122 128 210 216 258 272 290 296 302 338	692659419894
TPT(14)	3091645784296816001	0 2 36 38 66 68 126 128 168 170 180 182 318 320	699409578324
SPT(16)	3091645865919346277	0 6 26 44 66 90 104 114 122 132 146 170 192 210 230 236	781032108600
SPT(16)	3091646519415072793	0 28 54 70 114 136 144 196 198 250 258 280 324 340 366 394	1434527835116