Prime p₀= 2777586010311059219 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2777584511202255751	0 22 42 90 138 168 250 306 352 408 490 520 568 616 636 658	-1499108803468
STPT(10)	2777584670221197827	0 2 42 44 72 74 102 104 144 146	-1340089861392
STPT(10)	2777584731782537771	0 2 6 8 48 50 90 92 96 98	-1278528521448
STPT(10)	2777585335466765729	0 2 42 44 90 92 138 140 180 182	-674844293490
SPT(16)	2777585415169320209	0 114 198 200 210 240 270 278 354 362 392 422 432 434 518 632	-595141739010
SPT(16)	2777585564471990941	0 42 78 102 118 186 232 282 286 336 382 450 466 490 526 568	-445839068278
STPT(10)	2777586033950181869	0 2 18 20 30 32 42 44 60 62	23639122650
TPT(14)	2777586202773898517	0 2 24 26 72 74 84 86 234 236 240 242 264 266	192462839298
SPT(16)	2777586757137736319	0 42 102 114 140 150 174 198 224 248 272 282 308 320 380 422	746826677100
SPT(16)	2777586893181082289	0 14 32 42 60 74 90 140 192 242 258 272 290 300 318 332	882870023070
TPT(16)	2777587145082525887	0 2 114 116 144 146 150 152 180 182 210 212 222 224 270 272	1134771466668