Prime p₀= 2667599607038929889 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: suriv
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2667598453941820051	0 6 16 28 30 78 126 160 228 262 310 358 360 372 382 388	-1153097109838
SPT(16)	2667598867222562729	0 18 30 54 68 74 98 128 234 264 288 294 308 332 344 362	-739816367160
SPT(16)	2667599093147314061	0 38 80 98 108 110 116 128 138 150 156 158 168 186 228 266	-513891615828
SPT(16)	2667599217810029201	0 2 26 32 66 96 98 128 210 240 242 272 306 312 336 338	-389228900688
STPT(10)	2667599269830250541	0 2 30 32 60 62 90 92 120 122	-337208679348
STPT(10)	2667599496877877447	0 2 12 14 72 74 132 134 144 146	-110161052442
SPT(16)	2667599963919366881	0 26 110 126 140 152 182 210 212 240 270 282 296 312 396 422	356880436992
SPT(16)	2667600180686920033	0 24 34 84 126 136 190 210 220 240 294 304 346 396 406 430	573647990144
SPT(16)	2667600282419947957	0 10 40 66 82 96 102 150 166 214 220 234 250 276 306 316	675381018068
SPT(16)	2667600596336579551	0 6 90 142 156 162 216 228 310 322 376 382 396 448 532 538	989297649662
SPT(16)	2667600848115223313	0 18 30 96 104 156 164 186 278 300 308 360 368 434 446 464	1241076293424