Prime p₀= 1126431642986347067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1126430147060368807	0 4 16 34 46 54 66 112 114 160 172 180 192 210 222 226	-1495925978260
TPT(14)	1126430229991916741	0 2 36 38 48 50 66 68 306 308 336 338 390 392	-1412994430326
SPT(16)	1126430425944902303	0 36 60 80 120 128 170 176 228 234 276 284 324 344 368 404	-1217041444764
STPT(10)	1126430988112962137	0 2 12 14 72 74 132 134 144 146	-654873384930
STPT(10)	1126431068971786307	0 2 30 32 72 74 114 116 144 146	-574014560760
SPT(16)	1126431251320575649	0 60 82 148 168 180 208 250 270 312 340 352 372 438 460 520	-391665771418
SPT(16)	1126431692291731621	0 22 46 90 130 132 186 208 210 232 286 288 328 372 396 418	49305384554
STPT(10)	1126432105388020271	0 2 36 38 78 80 120 122 156 158	462401673204
SPT(16)	1126432750509604829	0 2 18 32 78 92 168 200 222 254 330 344 390 404 420 422	1107523257762
STPT(10)	1126432842619854947	0 2 60 62 72 74 84 86 144 146	1199633507880
STPT(10)	1126432951352551949	0 2 72 74 120 122 168 170 240 242	1308366204882