Prime p₀= 2568720503497001747 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 34 30 36 54 42 8 112 8 42 54 36 30 34 26 (?)
a_n: 0 26 60 90 126 180 222 230 342 350 392 446 482 512 546 572
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: 572
Found by: JayPi
db: batch=82, k=16, 26 34 30 36 54 42 8 112

SPT(16)	2568718437388472797	0 24 42 52 64 114 120 150 154 184 190 240 252 262 280 304	-2066108528950
SPT(16)	2568719171060277967	0 6 54 64 70 132 156 190 216 250 274 336 342 352 400 406	-1332436723780
TPT(14)	2568719320412816099	0 2 12 14 42 44 72 74 90 92 102 104 168 170	-1183084185648
STPT(10)	2568720091687443311	0 2 36 38 78 80 120 122 156 158	-411809558436
SPT(16)	2568720184559824579	0 48 78 102 198 250 280 282 298 300 330 382 478 502 532 580	-318937177168
SPT(16)	2568720368339634757	0 22 36 40 72 156 190 232 240 282 316 400 432 436 450 472	-135157366990
SPT(16)	2568720652279634003	0 6 26 56 84 90 116 144 170 198 224 230 258 288 308 314	148782632256
SPT(16)	2568720800011466447	0 12 32 86 96 116 146 152 174 180 210 230 240 294 314 326	296514464700
STPT(10)	2568721022202814007	0 2 42 44 72 74 102 104 144 146	518705812260
SPT(18)	2568721114327749893	0 18 44 56 68 116 156 186 198 206 218 248 288 336 348 360 386 404	610830748146
SPT(13)	2568721571182135673	0 6 30 54 174 210 300 390 426 546 570 594 600	1067685133926