Prime p₀= 1268582424060501437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1268581804872640751	0 26 36 56 86 98 176 206 252 282 360 372 402 422 432 458	-619187860686
SPT(16)	1268581943686132577	0 12 14 24 54 62 90 102 104 116 144 152 182 192 194 206	-480374368860
SPT(16)	1268582085896916821	0 2 86 120 156 246 258 272 276 290 302 392 428 462 546 548	-338163584616
SPT(16)	1268582197145017871	0 2 18 32 50 62 72 110 120 158 168 180 198 212 228 230	-226915483566
SPT(16)	1268582276032761637	0 22 24 34 76 100 112 190 246 324 336 360 402 412 414 436	-148027739800
TPT(14)	1268582278517421869	0 2 78 80 150 152 180 182 240 242 390 392 408 410	-145543079568
TPT(14)	1268583010041145649	0 2 30 32 48 50 132 134 210 212 300 302 312 314	585980644212
STPT(10)	1268583236023528427	0 2 30 32 60 62 90 92 120 122	811963026990
STPT(10)	1268583274911713009	0 2 18 20 30 32 42 44 60 62	850851211572
TPT(14)	1268583384298421729	0 2 30 32 42 44 108 110 150 152 180 182 222 224	960237920292
SPT(16)	1268583787112969153	0 24 38 66 74 78 80 84 110 114 116 120 128 156 170 194	1363052467716