Prime p₀= 2310161865993726847 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 24 6 42 12 56 10 14 10 56 12 42 6 24 40 (?)
a_n: 0 40 64 70 112 124 180 190 204 214 270 282 324 330 354 394
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: 394
Found by: FritzB
db: batch=81, k=16, 40 24 6 42 12 56 10 14

SPT(16)	2310158845360638763	0 18 24 54 66 186 214 270 274 330 358 478 490 520 526 544	-3020633088084
STPT(10)	2310158973094267637	0 2 24 26 42 44 60 62 84 86	-2892899459210
SPT(16)	2310159120380384849	0 30 42 102 104 122 140 144 170 174 192 210 212 272 284 314	-2745613341998
SPT(16)	2310159464675637899	0 30 32 42 74 80 104 114 158 168 192 198 230 240 242 272	-2401318088948
SPT(16)	2310159645359301479	0 14 18 42 72 128 132 134 168 170 174 230 260 284 288 302	-2220634425368
TPT(14)	2310160736674130369	0 2 12 14 42 44 72 74 78 80 150 152 210 212	-1129319596478
STPT(10)	2310162113856129287	0 2 30 32 42 44 54 56 84 86	247862402440
STPT(10)	2310162823888809287	0 2 30 32 72 74 114 116 144 146	957895082440
TPT(14)	2310163088687714969	0 2 18 20 42 44 78 80 90 92 102 104 372 374	1222693988122
SPT(16)	2310163224825504677	0 44 56 72 126 180 182 210 326 354 356 410 464 480 492 536	1358831777830
SPT(16)	2310163274712999149	0 12 38 68 122 132 140 152 360 372 380 390 444 474 500 512	1408719272302