Prime p₀= 1286435380013120927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Cruncher Pete
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1286434495056695071	0 76 90 126 138 180 208 246 490 528 556 598 610 646 660 736	-884956425856
STPT(10)	1286434673899756319	0 2 162 164 180 182 198 200 360 362	-706113364608
STPT(10)	1286434772584987931	0 2 6 8 48 50 90 92 96 98	-607428132996
STPT(10)	1286434866018040001	0 2 6 8 48 50 90 92 96 98	-513995080926
STPT(10)	1286434947202951067	0 2 30 32 42 44 54 56 84 86	-432810169860
SPT(16)	1286435032293258247	0 10 24 52 60 70 112 126 130 144 186 196 204 232 246 256	-347719862680
SPT(16)	1286435449808638133	0 8 54 120 158 188 258 264 350 356 426 456 494 560 606 614	69795517206
SPT(16)	1286435474240949041	0 8 20 48 62 66 78 158 300 380 392 396 410 438 450 458	94227828114
SPT(16)	1286436034026915971	0 8 20 56 62 68 78 96 122 140 150 156 162 198 210 218	654013795044
SPT(16)	1286436116219203699	0 28 54 70 144 190 220 234 268 282 312 358 432 448 474 502	736206082772
SPT(16)	1286436345228465059	0 38 98 110 122 192 222 248 282 308 338 408 420 432 492 530	965215344132