Prime p₀= 1267339661633813531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1267338687471786733	0 6 48 58 70 88 118 136 150 168 198 216 228 238 280 286	-974162026798
STPT(10)	1267338782761297637	0 2 30 32 42 44 54 56 84 86	-878872515894
TPT(14)	1267339124508419231	0 2 36 38 66 68 78 80 126 128 150 152 168 170	-537125394300
SPT(16)	1267339165724079443	0 14 48 50 74 134 210 224 294 308 384 444 468 470 504 518	-495909734088
STPT(10)	1267339343457902357	0 2 30 32 42 44 54 56 84 86	-318175911174
SPT(16)	1267339505304125971	0 16 18 46 72 106 142 160 168 186 222 256 282 310 312 328	-156329687560
TPT(14)	1267339975215022337	0 2 30 32 72 74 144 146 180 182 234 236 264 266	313581208806
SPT(16)	1267340607589505201	0 8 26 30 102 120 128 152 186 210 218 236 308 312 330 338	945955691670
STPT(10)	1267340638123648337	0 2 30 32 42 44 54 56 84 86	976489834806
SPT(16)	1267340796630910109	0 12 20 62 80 98 108 122 150 164 174 192 210 252 260 272	1134997096578
TPT(14)	1267341076245830189	0 2 42 44 48 50 60 62 90 92 168 170 198 200	1414612016658