Prime p₀= 2667997998908530859 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-FC] hl
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2667996436098537149	0 2 48 50 90 92 132 134 180 182	-1562809993710
SPT(16)	2667997101118112497	0 10 30 34 60 84 94 100 126 132 142 166 192 196 216 226	-897790418362
STPT(10)	2667997187763207899	0 2 18 20 30 32 42 44 60 62	-811145322960
SPT(16)	2667997242685433459	0 20 50 72 120 140 152 164 180 192 204 224 272 294 324 344	-756223097400
STPT(10)	2667997705577934419	0 2 18 20 30 32 42 44 60 62	-293330596440
STPT(10)	2667997742945432867	0 2 30 32 72 74 114 116 144 146	-255963097992
SPT(16)	2667998100049728337	0 24 106 150 184 210 244 250 276 282 316 342 376 420 502 526	101141197478
SPT(16)	2667998526132589079	0 44 72 80 192 198 224 254 258 288 314 320 432 440 468 512	527224058220
SPT(16)	2667998555404535209	0 52 54 90 154 168 174 238 264 328 334 348 412 448 450 502	556496004350
TPT(14)	2667999112018566089	0 2 12 14 78 80 162 164 168 170 330 332 372 374	1113110035230
SPT(16)	2667999185457079181	0 26 32 38 66 68 86 92 186 192 210 212 240 246 252 278	1186548548322