Prime p₀= 2666128149673479287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Groo
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2666125827958152611	0 2 6 8 18 20 30 32 36 38	-2321715326676
SPT(16)	2666126164951049183	0 8 18 36 38 50 66 84 140 158 174 186 188 206 216 224	-1984722430104
STPT(10)	2666126798775081359	0 2 48 50 90 92 132 134 180 182	-1350898397928
SPT(16)	2666127084280095869	0 12 32 42 72 90 102 104 108 110 122 140 170 180 200 212	-1065393383418
SPT(16)	2666127655357228399	0 24 84 108 112 162 204 232 270 298 340 390 394 418 478 502	-494316250888
TPT(14)	2666128110703230989	0 2 12 14 60 62 102 104 138 140 168 170 180 182	-38970248298
TPT(14)	2666128222360169249	0 2 42 44 102 104 138 140 300 302 438 440 510 512	72686689962
SPT(16)	2666128253495720071	0 18 48 112 126 190 268 282 286 300 378 442 456 520 550 568	103822240784
SPT(16)	2666128501731979309	0 54 64 78 82 90 130 132 280 282 322 330 334 348 358 412	352058500022
SPT(16)	2666128927103816143	0 16 28 40 60 88 90 118 126 154 156 184 204 216 228 244	777430336856
STPT(10)	2666129289173646677	0 2 54 56 132 134 210 212 264 266	1139500167390