Prime p₀= 2568778689747214523 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 12 76 12 12 18 18 14 18 18 12 12 76 12 38 (?)
a_n: 0 38 50 126 138 150 168 186 200 218 236 248 260 336 348 386
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: 386
Found by: JayPi
db: batch=82, k=16, 38 12 76 12 12 18 18 14

SPT(16)	2568777695629346627	0 30 66 84 110 114 116 122 144 150 152 156 182 200 236 266	-994117867896
SPT(16)	2568777752685752869	0 4 10 22 60 100 120 174 508 562 582 622 660 672 678 682	-937061461654
SPT(16)	2568777870597896411	0 18 32 80 86 216 236 240 308 312 332 462 468 516 530 548	-819149318112
SPT(16)	2568778057823453059	0 90 112 114 124 174 202 234 250 282 310 360 370 372 394 484	-631923761464
SPT(16)	2568778182437278853	0 6 56 66 86 90 104 114 116 126 140 144 164 174 224 230	-507309935670
STPT(10)	2568778391402135579	0 2 18 20 60 62 102 104 120 122	-298345078944
SPT(18)	2568778985523719497	0 42 70 90 106 132 144 154 166 210 222 232 244 270 286 306 334 376	295776504974
SPT(16)	2568779179859813519	0 104 114 144 152 162 198 228 254 284 320 330 338 368 378 482	490112598996
STPT(10)	2568779303462511911	0 2 30 32 78 80 126 128 156 158	613715297388
STPT(10)	2568779324556259667	0 2 30 32 72 74 114 116 144 146	634809045144
STPT(10)	2568779544076930157	0 2 30 32 42 44 54 56 84 86	854329715634