Prime p₀= 2667592899713663837 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: suriv
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2667591215784810251	0 2 66 68 138 140 210 212 276 278	-1683928853586
SPT(16)	2667592075066643453	0 24 110 138 218 234 248 276 278 306 320 336 416 444 530 554	-824647020384
SPT(16)	2667592378144458473	0 8 18 36 80 144 146 164 210 228 230 294 338 356 366 374	-521569205364
SPT(16)	2667592442946820889	0 14 30 62 68 104 108 122 180 194 198 234 240 272 288 302	-456766842948
SPT(16)	2667592454112272101	0 6 22 42 46 70 78 88 90 100 108 132 136 156 172 178	-445601391736
SPT(16)	2667592494234943183	0 10 28 58 60 76 88 90 94 96 108 124 126 156 174 184	-405478720654
SPT(16)	2667593027104415491	0 30 42 76 90 96 112 142 156 186 202 208 222 256 268 298	127390751654
SPT(16)	2667594606532391659	0 22 60 78 84 88 114 162 190 238 264 268 274 292 330 352	1706818727822
SPT(16)	2667595765971607697	0 20 30 66 122 132 162 182 240 260 290 300 356 392 402 422	2866257943860
STPT(10)	2667596143759175087	0 2 30 32 42 44 54 56 84 86	3244045511250
SPT(16)	2667596714939761379	0 8 14 62 84 110 158 210 242 294 342 368 390 438 444 452	3815226097542