Prime p₀= 2678358149221916219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: [SG-2W]Kurzer
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2678357778881975117	0 2 42 44 72 74 102 104 144 146	-370339941102
STPT(10)	2678357781399570239	0 2 12 14 30 32 48 50 60 62	-367822345980
STPT(10)	2678357877331481099	0 2 18 20 30 32 42 44 60 62	-271890435120
SPT(16)	2678357940506029339	0 12 34 82 84 88 90 130 132 172 174 178 180 228 250 262	-208715886880
STPT(10)	2678357940506029421	0 2 6 8 48 50 90 92 96 98	-208715886798
SPT(16)	2678358137747379433	0 30 36 64 66 76 90 108 166 184 198 208 210 238 244 274	-11474536786
STPT(10)	2678358385692318737	0 2 42 44 72 74 102 104 144 146	236470402518
SPT(16)	2678358391912887737	0 42 54 84 92 162 182 224 252 294 314 384 392 422 434 476	242690971518
TPT(14)	2678358496118724869	0 2 90 92 102 104 132 134 162 164 288 290 300 302	346896808650
SPT(16)	2678358536653777057	0 36 64 66 90 126 196 222 274 300 370 406 430 432 460 496	387431860838
STPT(10)	2678358731906363027	0 2 30 32 42 44 54 56 84 86	582684446808