Prime p₀= 2168134709620536869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-FC] hl
db: batch=81, k=10, 2 16 2 40 2

SPT(18)	2168131563603239449	0 4 18 42 52 70 150 154 172 210 228 232 312 330 340 364 378 382	-3146017297420
SPT(16)	2168132262178922639	0 14 20 54 68 78 92 110 132 150 164 174 188 222 228 242	-2447441614230
STPT(10)	2168133236500212827	0 2 24 26 42 44 60 62 84 86	-1473120324042
SPT(16)	2168133507361343267	0 12 20 54 116 146 152 162 194 204 210 240 302 336 344 356	-1202259193602
SPT(16)	2168133565069505353	0 40 90 180 196 216 256 264 280 288 328 348 364 454 504 544	-1144551031516
SPT(16)	2168133799802141981	0 20 38 108 120 150 168 182 186 200 218 248 260 330 348 368	-909818394888
STPT(10)	2168135630275195307	0 2 24 26 42 44 60 62 84 86	920654658438
SPT(16)	2168135841315269767	0 42 82 102 106 166 232 252 310 330 396 456 460 480 520 562	1131694732898
TPT(14)	2168136001575840521	0 2 30 32 66 68 78 80 108 110 156 158 198 200	1291955303652
SPT(16)	2168136127652158787	0 26 44 60 74 144 146 156 170 180 182 252 266 282 300 326	1418031621918
SPT(16)	2168136172231570523	0 24 50 110 138 140 170 188 240 258 288 290 318 378 404 428	1462611033654