Prime p₀= 1089805164391695977 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: Spectrum
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1089804694478882647	0 6 40 42 52 82 90 96 166 172 180 210 220 222 256 262	-469912813330
SPT(16)	1089804811176142199	0 24 84 90 92 144 194 290 414 510 560 612 614 620 680 704	-353215553778
SPT(16)	1089804818561767673	0 26 66 134 156 180 198 200 204 206 224 248 270 338 378 404	-345829928304
STPT(10)	1089804819303102587	0 2 24 26 42 44 60 62 84 86	-345088593390
STPT(10)	1089804862538991959	0 2 42 44 90 92 138 140 180 182	-301852704018
STPT(10)	1089804902247322379	0 2 18 20 30 32 42 44 60 62	-262144373598
SPT(16)	1089805717279647253	0 48 78 84 106 114 168 210 244 286 340 348 370 376 406 454	552887951276
SPT(16)	1089806129447535887	0 14 32 44 60 62 72 114 200 242 252 254 270 282 300 314	965055839910
SPT(16)	1089806176705684051	0 6 22 40 70 102 126 148 150 172 196 228 258 276 292 298	1012313988074
SPT(16)	1089806217121762267	0 12 96 100 130 166 184 196 240 252 270 306 336 340 424 436	1052730066290
SPT(16)	1089806404507921033	0 24 36 48 58 66 84 94 180 190 208 216 226 238 250 274	1240116225056