Prime p₀= 1089270043243685789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Fardringle
db: batch=76, k=10, 2 10 2 76 2

SPT(18)	1089268256776631917	0 6 72 90 126 130 142 160 166 216 222 240 252 256 292 310 376 382	-1786467053872
SPT(16)	1089268451186049971	0 2 50 62 72 92 96 126 146 176 180 200 210 222 270 272	-1592057635818
SPT(16)	1089268599054055657	0 12 42 96 100 124 172 226 240 294 342 366 370 424 454 466	-1444189630132
SPT(16)	1089269613707974157	0 6 20 30 44 50 72 110 156 194 216 222 236 246 260 266	-429535711632
SPT(16)	1089269677841028779	0 2 44 50 62 78 110 132 140 162 194 210 222 228 270 272	-365402657010
STPT(10)	1089269957341375697	0 2 24 26 42 44 60 62 84 86	-85902310092
SPT(16)	1089270470012649193	0 40 54 84 100 184 250 294 364 408 474 558 574 604 618 658	426768963404
SPT(16)	1089270626167191241	0 12 36 42 46 72 120 126 142 148 196 222 226 232 256 268	582923505452
TPT(14)	1089270740734851251	0 2 36 38 66 68 126 128 168 170 210 212 258 260	697491165462
SPT(16)	1089270856770297763	0 18 30 70 94 100 108 144 154 190 198 204 228 268 280 298	813526611974
SPT(16)	1089271288701705157	0 6 16 42 90 102 112 132 220 240 250 262 310 336 346 352	1245458019368