Prime p₀= 1411123062130679171 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 36 6 24 6 24 24 6 24 6 36 30 (?)
a_n: 0 30 66 72 96 102 126 150 156 180 186 222 252
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: 252
Found by: rlacr
db: batch=78, k=13, 30 36 6 24 6 24

STPT(10)	1411122446769135647	0 2 30 32 42 44 54 56 84 86	-615361543524
STPT(10)	1411122506581577861	0 2 36 38 78 80 120 122 156 158	-555549101310
STPT(10)	1411122584215983839	0 2 12 14 90 92 168 170 180 182	-477914695332
SPT(16)	1411122769493920097	0 6 30 62 66 146 174 194 252 272 300 380 384 416 440 446	-292636759074
SPT(16)	1411122831336896893	0 18 28 76 78 88 90 96 160 166 168 178 180 228 238 256	-230793782278
STPT(10)	1411122935172322217	0 2 24 26 42 44 60 62 84 86	-126958356954
STPT(10)	1411123200622509107	0 2 30 32 42 44 54 56 84 86	138491829936
SPT(16)	1411123420096044947	0 42 56 90 92 110 122 152 204 234 246 264 266 300 314 356	357965365776
SPT(20)	1411123590410589719	0 2 32 54 108 114 132 144 164 192 230 258 278 290 308 314 368 390 420 422	528279910548
SPT(16)	1411123645935405529	0 4 28 40 54 58 108 130 162 184 234 238 252 264 288 292	583804726358
SPT(16)	1411124054994434527	0 36 60 76 112 120 130 162 340 372 382 390 426 442 466 502	992863755356