Prime p₀= 1258124671120081379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: mikey
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1258122413851751993	0 26 80 98 156 158 180 198 266 284 306 308 366 384 438 464	-2257268329386
STPT(10)	1258122462545765429	0 2 18 20 30 32 42 44 60 62	-2208574315950
SPT(16)	1258122790181479403	0 44 80 114 140 168 180 230 258 308 320 348 374 408 444 488	-1880938601976
SPT(16)	1258123458371446189	0 22 24 28 42 48 52 90 112 150 154 160 174 178 180 202	-1212748635190
SPT(16)	1258123742031729511	0 60 66 156 162 228 240 252 256 268 280 346 352 442 448 508	-929088351868
SPT(16)	1258124493085128043	0 6 16 46 48 88 96 118 168 190 198 238 240 270 280 286	-178034953336
STPT(10)	1258125449643776687	0 2 30 32 42 44 54 56 84 86	778523695308
STPT(10)	1258125805567998737	0 2 30 32 42 44 54 56 84 86	1134447917358
STPT(10)	1258125842521441739	0 2 18 20 30 32 42 44 60 62	1171401360360
STPT(10)	1258126058146756397	0 2 30 32 42 44 54 56 84 86	1387026675018
TPT(14)	1258126358024911421	0 2 300 302 336 338 390 392 426 428 510 512 558 560	1686904830042