Prime p₀= 2971708129029604631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2971706998850582761	0 28 46 60 72 96 108 112 156 160 172 196 208 222 240 268	-1130179021870
SPT(16)	2971707428106116951	0 56 110 116 170 180 182 212 306 336 338 348 402 408 462 518	-700923487680
SPT(16)	2971707746788200337	0 10 12 24 36 64 100 112 264 276 312 340 352 364 366 376	-382241404294
SPT(16)	2971707829797944329	0 10 28 58 60 124 130 144 178 192 198 262 264 294 312 322	-299231660302
SPT(16)	2971707842102188697	0 14 26 36 44 74 110 126 170 186 222 252 260 270 282 296	-286927415934
SPT(16)	2971707862145645641	0 30 42 88 90 100 118 132 196 210 228 238 240 286 298 328	-266883958990
SPT(16)	2971709140494906467	0 90 104 140 152 192 210 242 252 284 302 342 354 390 404 494	1011465301836
SPT(16)	2971709370535400899	0 22 24 42 52 54 60 78 94 112 118 120 130 148 150 172	1241505796268
STPT(10)	2971710252508609499	0 2 18 20 30 32 42 44 60 62	2123479004868
STPT(10)	2971710488534833601	0 2 6 8 48 50 90 92 96 98	2359505228970
SPT(16)	2971710790714014451	0 36 42 82 120 166 172 190 222 240 246 292 330 370 376 412	2661684409820