Prime p₀= 2556519399324427219 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 44 30 4 50 52 6 32 6 52 50 4 30 44 4 (?)
a_n: 0 4 48 78 82 132 184 190 222 228 280 330 334 364 408 412
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: 412
Found by: RFGuy_KCCO
db: batch=82, k=16, 4 44 30 4 50 52 6 32

SPT(16)	2556516868172498453	0 24 48 68 74 78 110 120 248 258 290 294 300 320 344 368	-2531151928766
STPT(10)	2556517842623821169	0 2 30 32 60 62 90 92 120 122	-1556700606050
SPT(16)	2556518549564010961	0 18 40 42 48 52 66 100 168 202 216 220 226 228 250 268	-849760416258
STPT(10)	2556518961478476737	0 2 30 32 42 44 54 56 84 86	-437845950482
STPT(10)	2556519280923898061	0 2 36 38 78 80 120 122 156 158	-118400529158
STPT(10)	2556519297829393241	0 2 36 38 78 80 120 122 156 158	-101495033978
TPT(14)	2556519456762206561	0 2 36 38 66 68 90 92 96 98 216 218 348 350	57437779342
SPT(16)	2556519596432780527	0 16 54 106 154 156 184 190 216 222 250 252 300 352 390 406	197108353308
SPT(16)	2556519949454203147	0 4 6 34 46 70 120 162 244 286 336 360 372 400 402 406	550129775928
STPT(10)	2556520158187155869	0 2 42 44 60 62 78 80 120 122	758862728650
SPT(16)	2556520175209571677	0 10 52 150 156 172 240 460 462 682 750 766 772 870 912 922	775885144458