Prime p₀= 2509180670079409747 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 18 66 114 30 6 6 30 114 66 18 36 (?)
a_n: 0 36 54 120 234 264 270 276 306 420 486 504 540
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 540
Found by: Hightower
db: batch=82, k=13, 36 18 66 114 30 6

STPT(10)	2509178367154621397	0 2 42 44 72 74 102 104 144 146	-2302924788350
SPT(16)	2509178518879672867	0 12 16 40 52 100 190 192 250 252 342 390 402 426 430 442	-2151199736880
SPT(16)	2509178864302017827	0 24 56 62 86 90 104 126 170 192 206 210 234 240 272 296	-1805777391920
STPT(12)	2509179083653113041	0 2 30 32 60 62 126 128 156 158 186 188	-1586426296706
SPT(16)	2509180435906238863	0 88 108 114 124 138 156 178 216 238 256 270 280 286 306 394	-234173170884
STPT(10)	2509180536967440647	0 2 54 56 132 134 210 212 264 266	-133111969100
SPT(16)	2509180998995872307	0 14 30 44 140 150 156 182 234 260 266 276 372 386 402 416	328916462560
SPT(16)	2509181143478064413	0 8 30 50 56 66 74 96 98 120 128 138 144 164 186 194	473398654666
SPT(16)	2509181329435651879	0 24 30 78 100 114 120 130 162 172 178 192 214 262 268 292	659356242132
SPT(16)	2509181413317067589	0 8 42 50 114 128 210 288 464 542 624 638 702 710 744 752	743237657842
SPT(16)	2509181474922125093	0 90 98 104 168 188 198 200 264 266 276 296 360 366 374 464	804842715346