Prime p₀= 2678600586246118319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: suriv
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2678599199079357527	0 2 30 32 42 44 54 56 84 86	-1387166760792
STPT(10)	2678599685545373669	0 2 48 50 60 62 72 74 120 122	-900700744650
TPT(16)	2678599882020855941	0 2 30 32 66 68 150 152 156 158 168 170 288 290 306 308	-704225262378
STPT(10)	2678599882801192289	0 2 42 44 60 62 78 80 120 122	-703444926030
SPT(16)	2678600340264979279	0 4 10 64 70 120 142 190 234 282 304 354 360 414 420 424	-245981139040
TPT(14)	2678600390499643637	0 2 54 56 60 62 144 146 294 296 420 422 450 452	-195746474682
STPT(10)	2678600666844526511	0 2 6 8 48 50 90 92 96 98	80598408192
STPT(10)	2678601491895347111	0 2 36 38 78 80 120 122 156 158	905649228792
SPT(16)	2678601600565331437	0 24 40 96 124 142 150 162 184 196 204 222 250 306 322 346	1014319213118
TPT(14)	2678601627009997991	0 2 78 80 108 110 156 158 240 242 318 320 408 410	1040763879672
SPT(16)	2678601658239603827	0 14 44 56 86 126 162 170 216 224 260 300 330 342 372 386	1071993485508