Prime p₀= 2774844900398490767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2774843119808148269	0 2 12 14 102 104 150 152 168 170 282 284 390 392	-1780590342498
SPT(16)	2774843230140454321	0 10 58 88 172 192 210 228 280 298 316 336 420 450 498 508	-1670258036446
SPT(16)	2774843491249382213	0 38 84 96 110 128 150 156 188 194 216 234 248 260 306 344	-1409149108554
SPT(16)	2774843894044218397	0 22 34 36 76 100 102 142 174 214 216 240 280 282 294 316	-1006354272370
SPT(16)	2774843906754340573	0 28 34 64 76 106 144 166 168 190 228 258 270 300 306 334	-993644150194
STPT(10)	2774844867997142321	0 2 78 80 168 170 258 260 336 338	-32401348446
SPT(16)	2774845007669956367	0 2 44 56 182 210 252 276 290 314 356 384 510 522 564 566	107271465600
STPT(10)	2774845162266351677	0 2 24 26 42 44 60 62 84 86	261867860910
STPT(10)	2774845370331085949	0 2 18 20 30 32 42 44 60 62	469932595182
SPT(16)	2774845429421017913	0 44 50 56 60 74 78 116 168 206 210 224 228 234 240 284	529022527146
SPT(16)	2774845694234422547	0 72 90 92 102 162 180 260 264 344 362 422 432 434 452 524	793835931780