Prime p₀= 2788278583561054679 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: Roadranner
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2788276646686344599	0 2 42 44 60 62 78 80 120 122	-1936874710080
SPT(16)	2788276844642932061	0 2 56 80 116 150 156 168 170 182 188 222 258 282 336 338	-1738918122618
STPT(10)	2788277242380291281	0 2 6 8 48 50 90 92 96 98	-1341180763398
SPT(16)	2788277383076910821	0 12 42 56 66 96 98 116 132 150 152 182 192 206 236 248	-1200484143858
SPT(16)	2788277568340618573	0 10 18 64 120 150 156 178 246 268 274 304 360 406 414 424	-1015220436106
STPT(10)	2788277938542881969	0 2 30 32 60 62 90 92 120 122	-645018172710
TPT(14)	2788278765294893357	0 2 12 14 114 116 222 224 240 242 300 302 342 344	181733838678
SPT(16)	2788278800367380809	0 4 40 108 114 130 132 154 198 220 222 238 244 312 348 352	216806326130
STPT(10)	2788279010906398979	0 2 12 14 90 92 168 170 180 182	427345344300
SPT(16)	2788279021302409189	0 24 42 58 132 144 172 202 210 240 268 280 354 370 388 412	437741354510
TPT(14)	2788279047361879367	0 2 30 32 84 86 162 164 240 242 294 296 324 326	463800824688