Prime p₀= 4044821614307061551 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 12 48 50 34 26 76 74 76 26 34 50 48 12 6 (?)
a_n: 0 6 18 66 116 150 176 252 326 402 428 462 512 560 572 578
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: 578
Found by: Alnitak2019
db: batch=84, k=16, 6 12 48 50 34 26 76 74

SPT(16)	4044821141982079847	0 14 50 66 72 92 120 126 170 176 204 224 230 246 282 296	-472324981704
STPT(10)	4044821180465915819	0 2 12 14 30 32 48 50 60 62	-433841145732
SPT(16)	4044821233169782889	0 14 108 120 152 174 194 224 258 288 308 330 362 374 468 482	-381137278662
SPT(16)	4044821415952270999	0 28 40 42 48 82 118 192 250 324 360 394 400 402 414 442	-198354790552
STPT(10)	4044821546281555799	0 2 12 14 90 92 168 170 180 182	-68025505752
STPT(12)	4044821570755042487	0 2 12 14 54 56 90 92 132 134 144 146	-43552019064
STPT(10)	4044821872442049077	0 2 30 32 42 44 54 56 84 86	258134987526
STPT(10)	4044821904287805437	0 2 24 26 42 44 60 62 84 86	289980743886
STPT(10)	4044822297985763051	0 2 6 8 18 20 30 32 36 38	683678701500
SPT(16)	4044822557472509173	0 30 34 40 124 138 144 186 238 280 286 300 384 390 394 424	943165447622
STPT(10)	4044822610024375181	0 2 36 38 78 80 120 122 156 158	995717313630