Prime p₀= 1116911678671710767 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: szymmirr
db: batch=76, k=10, 2 22 2 16 2

TPT(14)	1116910875923316431	0 2 18 20 66 68 168 170 306 308 336 338 396 398	-802748394336
STPT(10)	1116911137043467991	0 2 36 38 78 80 120 122 156 158	-541628242776
STPT(10)	1116911216829052259	0 2 18 20 30 32 42 44 60 62	-461842658508
SPT(16)	1116911252866025203	0 10 34 60 94 100 214 244 276 306 420 426 460 486 510 520	-425805685564
SPT(16)	1116911266255110649	0 10 52 120 142 162 204 220 252 268 310 330 352 420 462 472	-412416600118
STPT(12)	1116911334915396989	0 2 12 14 48 50 132 134 168 170 180 182	-343756313778
SPT(16)	1116911916658216043	0 14 24 66 78 84 110 126 278 294 320 326 338 380 390 404	237986505276
TPT(14)	1116911927313021941	0 2 6 8 48 50 78 80 90 92 96 98 168 170	248641311174
SPT(16)	1116911957335911403	0 34 64 130 144 148 150 168 220 238 240 244 258 324 354 388	278664200636
SPT(16)	1116911991776322941	0 30 38 56 72 110 128 132 146 150 168 206 222 240 248 278	313104612174
STPT(10)	1116912377673172271	0 2 90 92 168 170 246 248 336 338	699001461504