Prime p₀= 1276599033890156099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: szymmirr
db: batch=77, k=10, 2 10 2 16 2

STPT(10)	1276597715255279897	0 2 30 32 42 44 54 56 84 86	-1318634876202
SPT(16)	1276597918338892313	0 36 80 84 98 110 114 128 216 230 234 246 260 264 308 344	-1115551263786
SPT(16)	1276598014424591713	0 30 106 108 154 156 196 210 214 228 268 270 316 318 394 424	-1019465564386
STPT(10)	1276598136555074687	0 2 54 56 72 74 90 92 144 146	-897335081412
STPT(10)	1276598240341327991	0 2 6 8 48 50 90 92 96 98	-793548828108
SPT(16)	1276598732987243629	0 112 124 144 168 190 204 214 228 238 252 274 298 318 330 442	-300902912470
SPT(16)	1276599149750466923	0 24 78 80 86 96 150 156 188 194 248 258 264 266 320 344	115860310824
SPT(16)	1276599422327239937	0 2 42 120 134 156 170 212 264 306 320 342 356 434 474 476	388437083838
SPT(16)	1276599682427672663	0 20 56 60 86 126 146 230 240 324 344 384 410 414 450 470	648537516564
SPT(16)	1276599704846275573	0 30 46 54 96 100 144 150 184 190 234 238 280 288 304 334	670956119474
SPT(16)	1276600258990333931	0 20 78 108 140 170 192 212 216 236 258 288 320 350 408 428	1225100177832