Prime p₀= 2936499138290895431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 130 2 130 2 34 2 (?)
a_n: 0 2 36 38 168 170 300 302 336 338
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: 338
Found by: Landjunge
db: batch=82, k=10, 2 34 2 130 2

SPT(16)	2936497113148099687	0 4 42 70 72 82 90 120 124 154 162 172 174 202 240 244	-2025142795744
TPT(14)	2936497420661421647	0 2 30 32 120 122 132 134 330 332 372 374 414 416	-1717629473784
STPT(10)	2936497770504428231	0 2 6 8 48 50 90 92 96 98	-1367786467200
SPT(16)	2936497970285672201	0 6 36 68 96 120 126 192 206 272 278 302 330 362 392 398	-1168005223230
SPT(16)	2936498860074690907	0 12 36 72 142 192 196 262 294 360 364 414 484 520 544 556	-278216204524
SPT(16)	2936498914134299401	0 6 18 28 40 46 76 130 138 192 222 228 240 250 262 268	-224156596030
SPT(16)	2936499279096133873	0 30 48 94 124 148 156 226 258 328 336 360 390 436 454 484	140805238442
SPT(16)	2936499515448102113	0 14 48 56 74 90 108 116 138 146 164 180 198 206 240 254	377157206682
SPT(20)	2936499549420511729	0 28 58 72 100 120 154 172 198 210 232 244 270 288 322 342 370 384 414 442	411129616298
SPT(16)	2936499989544056323	0 34 64 66 178 204 226 286 408 468 490 516 628 630 660 694	851253160892
SPT(18)	2936500185146101237	0 16 42 52 66 72 96 126 136 186 196 226 250 256 270 280 306 322	1046855205806