Prime p₀= 2310163224825504677 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 12 16 54 54 2 28 116 28 2 54 54 16 12 44 (?)
a_n: 0 44 56 72 126 180 182 210 326 354 356 410 464 480 492 536
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: 536
Found by: FritzB
db: batch=81, k=16, 44 12 16 54 54 2 28 116

SPT(16)	2310159645359301479	0 14 18 42 72 128 132 134 168 170 174 230 260 284 288 302	-3579466203198
TPT(14)	2310160736674130369	0 2 12 14 42 44 72 74 78 80 150 152 210 212	-2488151374308
SPT(16)	2310161865993726847	0 40 64 70 112 124 180 190 204 214 270 282 324 330 354 394	-1358831777830
STPT(10)	2310162113856129287	0 2 30 32 42 44 54 56 84 86	-1110969375390
STPT(10)	2310162823888809287	0 2 30 32 72 74 114 116 144 146	-400936695390
TPT(14)	2310163088687714969	0 2 18 20 42 44 78 80 90 92 102 104 372 374	-136137789708
SPT(16)	2310163274712999149	0 12 38 68 122 132 140 152 360 372 380 390 444 474 500 512	49887494472
TPT(14)	2310163365721187099	0 2 30 32 90 92 102 104 132 134 138 140 168 170	140895682422
STPT(12)	2310163679756294489	0 2 30 32 72 74 138 140 180 182 210 212	454930789812
SPT(16)	2310163762413141199	0 24 54 112 120 130 168 192 250 274 312 322 330 388 418 442	537587636522
STPT(10)	2310163785428762111	0 2 36 38 78 80 120 122 156 158	560603257434