Prime p₀= 2056698780055032031 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 42 42 6 12 38 42 10 42 38 12 6 42 42 28 (?)
a_n: 0 28 70 112 118 130 168 210 220 262 300 312 318 360 402 430
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: 430
Found by: MarkRBright
db: batch=80, k=16, 28 42 42 6 12 38 42 10

SPT(16)	2056697601075723649	0 28 60 70 102 112 150 190 252 292 330 340 372 382 414 442	-1178979308382
SPT(16)	2056697684930703817	0 6 16 30 52 126 132 156 190 214 220 294 316 330 340 346	-1095124328214
SPT(16)	2056697992978545517	0 30 42 100 102 160 216 250 342 376 432 490 492 550 562 592	-787076486514
SPT(16)	2056698094390580297	0 44 74 150 186 192 206 252 314 360 374 380 416 492 522 566	-685664451734
STPT(10)	2056698134668081781	0 2 30 32 60 62 90 92 120 122	-645386950250
STPT(10)	2056698768325841609	0 2 12 14 30 32 48 50 60 62	-11729190422
SPT(18)	2056699144716800501	0 30 66 98 108 140 152 212 222 236 246 306 318 350 360 392 428 458	364661768470
SPT(16)	2056699270675536779	0 8 12 74 78 80 102 120 122 140 162 164 168 230 234 242	490620504748
STPT(10)	2056699291056004961	0 2 36 38 78 80 120 122 156 158	511000972930
STPT(10)	2056699434993063587	0 2 24 26 42 44 60 62 84 86	654938031556
STPT(10)	2056699462651369967	0 2 54 56 72 74 90 92 144 146	682596337936