Prime p₀= 1588457972587516991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Laurent Cheylat
db: batch=78, k=10, 2 34 2 40 2

STPT(10)	1588456952741117861	0 2 6 8 108 110 210 212 216 218	-1019846399130
TPT(14)	1588457637305498579	0 2 12 14 42 44 48 50 72 74 102 104 138 140	-335282018412
SPT(16)	1588457790658492813	0 36 66 90 94 108 138 178 276 316 346 360 364 388 418 454	-181929024178
SPT(16)	1588457894541196709	0 20 38 60 72 132 144 158 174 188 200 260 272 294 312 332	-78046320282
SPT(16)	1588457942774135683	0 34 64 90 106 130 178 196 228 246 294 318 334 360 390 424	-29813381308
SPT(16)	1588457963300119741	0 12 40 48 82 102 112 126 172 186 196 216 250 258 286 298	-9287397250
STPT(10)	1588457994561663521	0 2 6 8 18 20 30 32 36 38	21974146530
TPT(14)	1588458736608503531	0 2 48 50 120 122 168 170 258 260 300 302 336 338	764020986540
TPT(14)	1588459017949572887	0 2 60 62 180 182 240 242 282 284 354 356 420 422	1045362055896
SPT(16)	1588459138675602311	0 20 62 152 188 210 216 228 230 242 248 270 306 396 438 458	1166088085320
SPT(16)	1588459299459129901	0 6 18 30 52 90 136 156 172 192 238 276 298 310 322 328	1326871612910