Prime p₀= 2678555889784261093 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 12 66 4 6 50 36 64 36 50 6 4 66 12 6 (?)
a_n: 0 6 18 84 88 94 144 180 244 280 330 336 340 406 418 424
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: 424
Found by: JayPi
db: batch=82, k=16, 6 12 66 4 6 50 36 64

SPT(16)	2678554348739027081	0 12 38 78 86 108 122 138 140 156 170 192 200 240 266 278	-1541045234012
STPT(10)	2678554681676787887	0 2 30 32 42 44 54 56 84 86	-1208107473206
SPT(16)	2678554780501061789	0 8 48 78 90 110 120 132 188 200 210 230 242 272 312 320	-1109283199304
SPT(16)	2678554813414813427	0 2 12 56 80 150 164 176 240 252 266 336 360 404 414 416	-1076369447666
STPT(10)	2678555247379391927	0 2 30 32 42 44 54 56 84 86	-642404869166
STPT(10)	2678555460291963137	0 2 54 56 72 74 90 92 144 146	-429492297956
STPT(10)	2678555934594290627	0 2 30 32 60 62 90 92 120 122	44810029534
STPT(10)	2678556303291063071	0 2 30 32 60 62 90 92 120 122	413506801978
STPT(10)	2678556948380721389	0 2 42 44 60 62 78 80 120 122	1058596460296
TPT(14)	2678557183300074689	0 2 30 32 42 44 72 74 90 92 198 200 228 230	1293515813596
SPT(16)	2678557346005667591	0 12 36 78 80 138 150 180 218 248 260 318 320 362 386 398	1456221406498