Prime p₀= 1267922433167845979 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1267920038263979509	0 22 30 40 58 84 114 138 184 208 238 264 282 292 300 322	-2394903866470
SPT(16)	1267920183492292259	0 12 18 30 42 74 90 98 144 152 168 200 212 224 230 242	-2249675553720
TPT(14)	1267920885681630809	0 2 72 74 102 104 192 194 222 224 252 254 270 272	-1547486215170
STPT(10)	1267921021908190499	0 2 48 50 90 92 132 134 180 182	-1411259655480
STPT(10)	1267921554196176767	0 2 30 32 42 44 54 56 84 86	-878971669212
SPT(16)	1267922279809955443	0 34 46 90 126 130 174 178 186 190 234 238 274 318 330 364	-153357890536
SPT(16)	1267923008911515667	0 12 76 90 120 124 130 142 144 156 162 166 196 210 274 286	575743669688
SPT(16)	1267923165823683989	0 14 44 48 74 90 140 158 240 258 308 324 350 354 384 398	732655838010
STPT(10)	1267923251408380937	0 2 30 32 42 44 54 56 84 86	818240534958
STPT(10)	1267923862857668249	0 2 48 50 60 62 72 74 120 122	1429689822270
SPT(16)	1267924446416003417	0 2 26 60 86 96 104 114 182 192 200 210 236 270 294 296	2013248157438