Prime p₀= 2678358385692318737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 40 2 28 2

STPT(10)	2678357781399570239	0 2 12 14 30 32 48 50 60 62	-604292748498
STPT(10)	2678357877331481099	0 2 18 20 30 32 42 44 60 62	-508360837638
SPT(16)	2678357940506029339	0 12 34 82 84 88 90 130 132 172 174 178 180 228 250 262	-445186289398
STPT(10)	2678357940506029421	0 2 6 8 48 50 90 92 96 98	-445186289316
SPT(16)	2678358137747379433	0 30 36 64 66 76 90 108 166 184 198 208 210 238 244 274	-247944939304
STPT(10)	2678358149221916219	0 2 42 44 60 62 78 80 120 122	-236470402518
SPT(16)	2678358391912887737	0 42 54 84 92 162 182 224 252 294 314 384 392 422 434 476	6220569000
TPT(14)	2678358496118724869	0 2 90 92 102 104 132 134 162 164 288 290 300 302	110426406132
SPT(16)	2678358536653777057	0 36 64 66 90 126 196 222 274 300 370 406 430 432 460 496	150961458320
STPT(10)	2678358731906363027	0 2 30 32 42 44 54 56 84 86	346214044290
SPT(16)	2678359283196825791	0 2 68 78 128 180 182 192 266 276 278 330 380 390 456 458	897504507054