Prime p₀= 1274142627599704697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: mikey
db: batch=77, k=10, 2 70 2 28 2

SPT(16)	1274142059063585297	0 26 56 104 120 150 176 180 230 234 260 290 306 354 384 410	-568536119400
STPT(10)	1274142089321904599	0 2 18 20 30 32 42 44 60 62	-538277800098
SPT(16)	1274142216282349861	0 18 30 72 100 130 142 156 172 186 198 228 256 298 310 328	-411317354836
STPT(12)	1274142299488153619	0 2 18 20 102 104 108 110 192 194 210 212	-328111551078
STPT(10)	1274142396664882907	0 2 30 32 42 44 54 56 84 86	-230934821790
STPT(10)	1274142414179174117	0 2 30 32 42 44 54 56 84 86	-213420530580
SPT(16)	1274142682325409847	0 34 46 84 96 130 136 172 174 210 216 250 262 300 312 346	54725705150
SPT(16)	1274143105552644829	0 10 12 34 52 54 78 82 90 94 118 120 138 160 162 172	477952940132
SPT(16)	1274143220934439343	0 50 54 56 104 126 174 224 270 320 368 390 438 440 444 494	593334734646
SPT(16)	1274143222502901721	0 10 12 42 102 178 222 232 378 388 432 508 568 598 600 610	594903197024
SPT(16)	1274143306751859913	0 10 64 70 76 78 84 94 150 160 166 168 174 180 234 244	679152155216