Prime p₀= 2678550874945340579 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-2W]Kurzer
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2678549641091230367	0 2 24 26 42 44 60 62 84 86	-1233854110212
SPT(16)	2678549662118880089	0 24 122 134 144 152 234 254 360 380 462 470 480 492 590 614	-1212826460490
STPT(10)	2678550198732388031	0 2 6 8 18 20 30 32 36 38	-676212952548
SPT(16)	2678550356024431127	0 12 26 30 42 72 114 116 150 152 194 224 236 240 254 266	-518920909452
STPT(12)	2678550445394981579	0 2 42 44 78 80 162 164 198 200 240 242	-429550359000
STPT(10)	2678550668536650107	0 2 30 32 72 74 114 116 144 146	-206408690472
SPT(16)	2678551346044817423	0 8 26 66 140 144 164 168 176 180 200 204 278 318 336 344	471099476844
SPT(16)	2678552273423409893	0 56 66 68 86 110 126 138 338 350 366 390 408 410 420 476	1398478069314
SPT(16)	2678552504964094861	0 6 22 76 90 100 102 160 252 310 312 322 336 390 406 412	1630018754282
SPT(16)	2678552878104495619	0 34 52 64 112 132 190 204 250 264 322 342 390 402 420 454	2003159155040
STPT(10)	2678553341227861961	0 2 6 8 108 110 210 212 216 218	2466282521382