Prime p₀= 775617138268459187 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]FX
db: batch=73, k=10, 2 28 2 10 2

TPT(14)	775616406918048191	0 2 18 20 108 110 240 242 270 272 396 398 486 488	-731350410996
SPT(16)	775616525550104291	0 6 36 42 48 78 86 92 96 102 110 140 146 152 182 188	-612718354896
SPT(16)	775616589680046493	0 10 18 66 84 88 108 124 150 166 186 190 208 256 264 274	-548588412694
SPT(16)	775616874529361551	0 16 46 52 60 78 102 112 186 196 220 238 246 252 282 298	-263739097636
STPT(10)	775616903323272719	0 2 42 44 60 62 78 80 120 122	-234945186468
STPT(10)	775617022385641559	0 2 12 14 30 32 48 50 60 62	-115882817628
STPT(10)	775617300987175721	0 2 6 8 48 50 90 92 96 98	162718716534
TPT(14)	775617548443274231	0 2 156 158 168 170 210 212 300 302 396 398 456 458	410174815044
SPT(16)	775617703803730127	0 20 44 74 110 114 152 156 170 174 212 216 252 282 306 326	565535270940
SPT(16)	775617795448836533	0 20 44 68 114 138 144 168 230 254 260 284 330 354 378 398	657180377346
SPT(16)	775618217761162099	0 22 30 42 48 64 90 112 150 172 198 214 220 232 240 262	1079492702912