Prime p₀= 782366276637874307 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	782365315448129009	0 2 18 20 60 62 102 104 120 122	-961189745298
STPT(10)	782365659350616137	0 2 24 26 42 44 60 62 84 86	-617287258170
STPT(10)	782365711548608951	0 2 30 32 78 80 126 128 156 158	-565089265356
SPT(16)	782365760526823153	0 48 58 64 90 118 126 130 174 178 186 214 240 246 256 304	-516111051154
STPT(10)	782365884488796659	0 2 42 44 60 62 78 80 120 122	-392149077648
TPT(14)	782365964638992689	0 2 18 20 42 44 48 50 72 74 102 104 138 140	-311998881618
STPT(10)	782366795644930589	0 2 42 44 60 62 78 80 120 122	519007056282
SPT(16)	782366900401705961	0 26 42 60 90 156 216 272 276 332 392 458 488 506 522 548	623763831654
SPT(16)	782366956997262313	0 4 18 46 70 84 108 136 138 166 190 204 228 256 270 274	680359388006
SPT(16)	782367047303341321	0 12 30 42 48 72 78 108 180 210 216 240 246 258 276 288	770665467014
SPT(16)	782367165186326737	0 6 90 114 120 142 154 156 160 162 174 196 202 226 310 316	888548452430