Prime p₀= 2082554434180939289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2082553634370953599	0 60 130 148 154 172 202 214 258 270 300 318 324 342 412 472	-799809985690
STPT(10)	2082553928401456199	0 2 18 20 30 32 42 44 60 62	-505779483090
SPT(16)	2082554047016124853	0 40 70 94 96 106 120 160 210 250 264 274 276 300 330 370	-387164814436
SPT(16)	2082554091086197691	0 8 26 30 32 96 138 156 182 200 242 306 308 312 330 338	-343094741598
SPT(16)	2082554143442354327	0 30 44 56 132 144 146 152 174 180 182 194 270 282 296 326	-290738584962
SPT(16)	2082554151674312501	0 12 38 86 98 108 146 150 278 282 320 330 342 390 416 428	-282506626788
TPT(14)	2082554486238493997	0 2 72 74 120 122 132 134 144 146 174 176 300 302	52057554708
SPT(16)	2082554494549230067	0 4 6 42 100 112 132 136 210 214 234 246 304 340 342 346	60368290778
SPT(16)	2082554759415659357	0 66 140 156 180 254 264 266 330 332 342 416 440 456 530 596	325234720068
STPT(12)	2082554971475175011	0 2 36 38 48 50 78 80 90 92 126 128	537294235722
STPT(10)	2082555253331091137	0 2 30 32 42 44 54 56 84 86	819150151848