Prime p₀= 775709599076293727 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: [SG]FX
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	775708332844286519	0 2 18 20 30 32 42 44 60 62	-1266232007208
SPT(16)	775708434329565959	0 32 48 62 162 164 182 192 200 210 228 230 330 344 360 392	-1164746727768
STPT(10)	775708504753876739	0 2 12 14 90 92 168 170 180 182	-1094322416988
TPT(14)	775709090427973859	0 2 78 80 108 110 210 212 222 224 258 260 300 302	-508648319868
SPT(16)	775709126548891091	0 12 30 78 126 138 140 152 156 168 170 182 230 278 296 308	-472527402636
SPT(16)	775709538256694101	0 12 16 40 58 88 102 142 156 196 210 240 258 282 286 298	-60819599626
STPT(10)	775709664188893037	0 2 90 92 102 104 114 116 204 206	65112599310
STPT(10)	775709784025379051	0 2 30 32 60 62 90 92 120 122	184949085324
STPT(10)	775709855022377237	0 2 30 32 42 44 54 56 84 86	255946083510
SPT(16)	775709925367565779	0 28 64 78 114 132 138 220 222 304 310 328 364 378 414 442	326291272052
SPT(16)	775710201226780549	0 78 88 90 114 148 162 190 252 280 294 328 352 354 364 442	602150486822