Prime p₀= 2142136387627727807 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: suriv
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2142135069986855917	0 12 64 72 84 120 130 172 204 246 256 292 304 312 364 376	-1317640871890
SPT(16)	2142136005712924093	0 28 48 66 70 88 90 126 130 166 168 186 190 208 228 256	-381914803714
SPT(16)	2142136094151077579	0 2 44 60 62 78 102 140 162 200 224 240 242 258 300 302	-293476650228
STPT(10)	2142136169999055689	0 2 18 20 30 32 42 44 60 62	-217628672118
SPT(16)	2142136180789182931	0 12 16 28 36 70 82 112 126 156 168 202 210 222 226 238	-206838544876
SPT(18)	2142136378832913739	0 30 34 78 90 100 124 138 148 210 220 234 258 268 280 324 328 358	-8794814068
SPT(20)	2142136503212945377	0 6 22 42 64 132 196 202 222 246 250 274 294 300 364 432 454 474 490 496	115585217570
SPT(16)	2142136713373470487	0 10 16 22 66 84 112 126 130 144 172 190 234 240 246 256	325745742680
SPT(16)	2142136924530807473	0 8 36 44 48 78 84 104 150 170 176 206 210 218 246 254	536903079666
SPT(16)	2142136954701366541	0 22 36 42 66 70 102 136 162 196 228 232 256 262 276 298	567073638734
SPT(16)	2142137111363507683	0 6 64 66 76 78 84 138 286 340 346 348 358 360 418 424	723735779876