Prime p₀= 2130729168112197407 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: [SG-FC] hl
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2130727851798001879	0 10 40 48 78 150 180 198 202 220 250 322 352 360 390 400	-1316314195528
STPT(10)	2130727867996328297	0 2 54 56 72 74 90 92 144 146	-1300115869110
SPT(16)	2130728370811436953	0 30 36 40 58 130 138 144 250 256 264 336 354 358 364 394	-797300760454
SPT(16)	2130728729107604981	0 6 20 78 110 120 182 200 288 306 368 378 410 468 482 488	-439004592426
TPT(14)	2130728738997196199	0 2 78 80 108 110 180 182 198 200 210 212 222 224	-429115001208
SPT(16)	2130728969046671341	0 18 66 90 108 112 130 138 160 168 186 190 208 232 280 298	-199065526066
STPT(10)	2130729364185412169	0 2 12 14 90 92 168 170 180 182	196073214762
SPT(16)	2130729457777774031	0 66 68 90 128 162 180 198 230 248 266 300 338 360 362 428	289665576624
SPT(16)	2130729916378338343	0 4 40 48 66 136 138 216 298 376 378 448 466 474 510 514	748266140936
SPT(16)	2130729926047738261	0 28 78 82 126 130 166 168 190 192 228 232 276 280 330 358	757935540854
STPT(10)	2130730323159891251	0 2 36 38 138 140 240 242 276 278	1155047693844