Prime p₀= 2315731504960676987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2315730641022959389	0 12 40 42 64 130 144 162 172 190 204 270 292 294 322 334	-863937717598
TPT(14)	2315730733863238589	0 2 30 32 42 44 60 62 72 74 78 80 120 122	-771097438398
STPT(10)	2315730757126895741	0 2 6 8 48 50 90 92 96 98	-747833781246
STPT(10)	2315730908159855939	0 2 18 20 30 32 42 44 60 62	-596800821048
SPT(16)	2315731065224278771	0 6 28 66 76 82 88 112 156 180 186 192 202 240 262 268	-439736398216
SPT(16)	2315731375105644323	0 6 66 90 104 200 234 260 324 350 384 480 494 518 578 584	-129855032664
STPT(10)	2315731811116134779	0 2 18 20 30 32 42 44 60 62	306155457792
TPT(14)	2315731999650618077	0 2 42 44 114 116 180 182 222 224 270 272 300 302	494689941090
STPT(10)	2315732022075854927	0 2 30 32 42 44 54 56 84 86	517115177940
TPT(14)	2315732418773584901	0 2 60 62 96 98 138 140 156 158 180 182 210 212	913812907914
SPT(16)	2315732657832972337	0 4 24 40 64 142 144 172 204 232 234 312 336 352 372 376	1152872295350