Prime p₀= 2382776749914462437 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-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2382775884740651713	0 10 46 54 60 88 118 150 154 186 216 244 250 258 294 304	-865173810724
SPT(16)	2382775935005969597	0 12 24 56 90 92 134 152 204 222 264 266 300 332 344 356	-814908492840
SPT(16)	2382775985050461653	0 20 38 50 60 80 90 104 120 134 144 164 174 186 204 224	-764864000784
STPT(10)	2382776544311653739	0 2 18 20 30 32 42 44 60 62	-205602808698
STPT(10)	2382776650407709637	0 2 42 44 72 74 102 104 144 146	-99506752800
STPT(10)	2382776744896455959	0 2 18 20 30 32 42 44 60 62	-5018006478
SPT(16)	2382777167843301899	0 18 48 74 90 104 132 150 182 200 228 242 258 284 314 332	417928839462
TPT(14)	2382778200645851711	0 2 66 68 180 182 216 218 300 302 336 338 456 458	1450731389274
STPT(10)	2382778222788681899	0 2 18 20 30 32 42 44 60 62	1472874219462
TPT(14)	2382779655712896857	0 2 30 32 60 62 132 134 174 176 222 224 312 314	2905798434420
SPT(16)	2382779708949750559	0 30 40 60 94 102 220 234 298 312 430 438 472 492 502 532	2959035288122