Prime p₀= 1292587425877869617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: sorcrosc
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1292586505161865691	0 56 66 78 86 92 122 150 218 246 276 282 290 302 312 368	-920716003926
STPT(10)	1292586734334046157	0 2 30 32 42 44 54 56 84 86	-691543823460
SPT(16)	1292586768771944207	0 72 74 90 116 156 170 176 240 246 260 300 326 342 344 416	-657105925410
SPT(16)	1292586875311156879	0 4 10 18 88 90 102 112 150 160 172 174 244 252 258 262	-550566712738
SPT(16)	1292587229675149399	0 4 40 60 94 120 144 154 270 280 304 330 364 384 420 424	-196202720218
TPT(14)	1292587308566664491	0 2 36 38 120 122 258 260 318 320 330 332 348 350	-117311205126
SPT(16)	1292587582401438913	0 6 24 36 130 160 174 198 316 340 354 384 478 490 508 514	156523569296
STPT(10)	1292587661411620961	0 2 30 32 78 80 126 128 156 158	235533751344
STPT(10)	1292587703267906951	0 2 6 8 48 50 90 92 96 98	277390037334
SPT(16)	1292587736268927823	0 4 46 58 70 84 118 126 148 156 190 204 216 228 270 274	310391058206
SPT(16)	1292587959765462037	0 6 16 34 40 84 100 126 130 156 172 216 222 240 250 256	533887592420