Prime p₀= 2317830019272280127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2317828077138058631	0 2 6 18 38 42 48 60 68 80 86 90 110 122 126 128	-1942134221496
STPT(10)	2317828236749301251	0 2 96 98 108 110 120 122 216 218	-1782522978876
SPT(16)	2317828278090040267	0 4 16 52 114 156 184 210 286 312 340 382 444 480 492 496	-1741182239860
STPT(10)	2317828866305005811	0 2 6 8 18 20 30 32 36 38	-1152967274316
SPT(16)	2317829205355356533	0 24 54 110 150 168 200 210 218 228 260 278 318 374 404 428	-813916923594
SPT(16)	2317829803365629881	0 12 66 102 108 186 208 220 228 240 262 340 346 382 436 448	-215906650246
SPT(16)	2317830264016691747	0 26 30 50 72 144 152 206 240 294 302 374 396 416 420 446	244744411620
SPT(16)	2317830309032742661	0 10 22 66 78 82 136 166 192 222 276 280 292 336 348 358	289760462534
SPT(16)	2317830809590114157	0 44 114 132 180 206 300 314 342 356 450 476 524 542 612 656	790317834030
TPT(14)	2317831186166745617	0 2 30 32 60 62 84 86 90 92 144 146 210 212	1166894465490
TPT(14)	2317831363162638899	0 2 30 32 168 170 288 290 330 332 378 380 408 410	1343890358772