Prime p₀= 2678417624378181209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2678416772036592371	0 2 92 108 156 186 192 240 248 296 302 332 380 396 486 488	-852341588838
STPT(10)	2678417145184881179	0 2 48 50 60 62 72 74 120 122	-479193300030
SPT(16)	2678417368682634877	0 70 72 82 106 132 162 214 282 334 364 390 414 424 426 496	-255695546332
TPT(14)	2678417377312768631	0 2 66 68 78 80 150 152 246 248 288 290 348 350	-247065412578
SPT(16)	2678417390862629929	0 18 24 28 30 42 102 130 132 160 220 232 234 238 244 262	-233515551280
STPT(10)	2678417577573385001	0 2 6 8 48 50 90 92 96 98	-46804796208
STPT(10)	2678417823714717779	0 2 30 32 60 62 90 92 120 122	199336536570
STPT(10)	2678418035514566087	0 2 30 32 42 44 54 56 84 86	411136384878
STPT(10)	2678418292556836757	0 2 30 32 72 74 114 116 144 146	668178655548
SPT(16)	2678418551117356813	0 16 24 124 126 138 178 264 280 366 406 418 420 520 528 544	926739175604
STPT(10)	2678419077782040137	0 2 30 32 42 44 54 56 84 86	1453403858928