Prime p₀= 2760805856221348939 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 94 26 102 40 12 6 30 104 30 6 12 40 102 26 94 (?)
a_n: 0 94 120 222 262 274 280 310 414 444 450 462 502 604 630 724
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 724
Found by: Roadranner
db: batch=82, k=16, 94 26 102 40 12 6 30 104

SPT(16)	2760804782820919333	0 16 46 66 100 144 226 234 430 438 520 564 598 618 648 664	-1073400429606
SPT(16)	2760804900300342043	0 54 124 130 150 180 220 238 246 264 304 334 354 360 430 484	-955921006896
STPT(10)	2760804953496389477	0 2 30 32 42 44 54 56 84 86	-902724959462
TPT(14)	2760805204262674967	0 2 12 14 30 32 54 56 102 104 114 116 144 146	-651958673972
SPT(16)	2760805365927570847	0 12 30 34 72 84 112 114 142 144 172 184 222 226 244 256	-490293778092
STPT(10)	2760805436894620397	0 2 60 62 72 74 84 86 144 146	-419326728542
STPT(10)	2760806100930213701	0 2 30 32 78 80 126 128 156 158	244708864762
STPT(10)	2760806482398118241	0 2 6 8 48 50 90 92 96 98	626176769302
STPT(10)	2760806827064603501	0 2 30 32 60 62 90 92 120 122	970843254562
STPT(10)	2760807413115633611	0 2 36 38 78 80 120 122 156 158	1556894284672
SPT(13)	2760807562401413807	0 60 84 90 144 150 192 234 240 294 300 324 384	1706180064868