Prime p₀= 1274143962256712759 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: mikey
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1274142682325409847	0 34 46 84 96 130 136 172 174 210 216 250 262 300 312 346	-1279931302912
SPT(16)	1274143105552644829	0 10 12 34 52 54 78 82 90 94 118 120 138 160 162 172	-856704067930
SPT(16)	1274143220934439343	0 50 54 56 104 126 174 224 270 320 368 390 438 440 444 494	-741322273416
SPT(16)	1274143222502901721	0 10 12 42 102 178 222 232 378 388 432 508 568 598 600 610	-739753811038
SPT(16)	1274143306751859913	0 10 64 70 76 78 84 94 150 160 166 168 174 180 234 244	-655504852846
SPT(16)	1274143789551056687	0 20 32 42 54 84 92 110 204 222 230 260 272 282 294 314	-172705656072
SPT(18)	1274144605338604079	0 12 14 62 72 78 104 114 132 170 188 198 224 230 240 288 290 302	643081891320
SPT(16)	1274144830110587537	0 6 90 152 186 212 222 254 312 344 354 380 414 476 560 566	867853874778
STPT(10)	1274145383619838019	0 2 42 44 90 92 138 140 180 182	1421363125260
TPT(14)	1274145488498061371	0 2 36 38 78 80 90 92 126 128 210 212 420 422	1526241348612
SPT(16)	1274145658637497939	0 18 24 34 42 52 94 102 160 168 210 220 228 238 244 262	1696380785180