Prime p₀= 2112236553071290661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 28 2 88 2

STPT(10)	2112235507146185117	0 2 30 32 72 74 114 116 144 146	-1045925105544
SPT(16)	2112235518021697099	0 12 42 58 64 70 78 82 180 184 192 198 204 220 250 262	-1035049593562
TPT(14)	2112235956051353849	0 2 78 80 132 134 138 140 210 212 342 344 378 380	-597019936812
TPT(14)	2112236013006030011	0 2 126 128 168 170 198 200 258 260 300 302 336 338	-540065260650
STPT(10)	2112236183882388017	0 2 24 26 42 44 60 62 84 86	-369188902644
SPT(16)	2112236296178822213	0 54 60 86 108 116 140 186 218 264 288 296 318 344 350 404	-256892468448
STPT(10)	2112236813425429697	0 2 30 32 42 44 54 56 84 86	260354139036
STPT(10)	2112236979609424277	0 2 30 32 42 44 54 56 84 86	426538133616
STPT(10)	2112237013032456839	0 2 42 44 90 92 138 140 180 182	459961166178
SPT(16)	2112237076106569439	0 24 32 42 48 60 80 102 110 132 152 164 170 180 188 212	523035278778
SPT(16)	2112237137944418029	0 12 28 84 88 90 102 130 132 160 172 174 178 234 250 262	584873127368