Prime p₀= 1165413784297128407 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: mikey
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1165412820812662229	0 2 12 14 78 80 108 110 132 134 150 152 162 164	-963484466178
STPT(10)	1165412944184348771	0 2 6 8 18 20 30 32 36 38	-840112779636
SPT(16)	1165412989127019769	0 30 42 100 132 168 192 220 240 268 292 328 360 418 430 460	-795170108638
STPT(10)	1165413088638363179	0 2 18 20 30 32 42 44 60 62	-695658765228
SPT(16)	1165413170185670071	0 18 28 46 52 66 72 102 106 136 142 156 162 180 190 208	-614111458336
STPT(10)	1165413593324028869	0 2 18 20 30 32 42 44 60 62	-190973099538
SPT(16)	1165413814726205741	0 86 90 110 146 152 210 222 230 242 300 306 342 362 366 452	30429077334
STPT(10)	1165413961567584107	0 2 30 32 42 44 54 56 84 86	177270455700
STPT(10)	1165414089696513869	0 2 42 44 60 62 78 80 120 122	305399385462
SPT(16)	1165414567383234557	0 12 20 26 32 36 42 60 86 104 110 114 120 126 134 146	783086106150
SPT(16)	1165414822492772497	0 10 16 42 76 90 136 142 144 150 196 210 244 270 276 286	1038195644090