Prime p₀= 1431337765817993069 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 18 6 60 54 14 18 40 74 4 74 40 18 14 54 60 6 18 (?)
a_n: 0 18 24 84 138 152 170 210 284 288 362 402 420 434 488 548 554 572
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 572
Found by: Theadalus
db: batch=78, k=18, 18 6 60 54 14 18 40 74 4

SPT(16)	1431337118238153251	0 2 6 26 30 68 98 132 206 240 270 308 312 332 336 338	-647579839818
SPT(16)	1431337458790867651	0 36 46 88 90 108 126 150 238 262 280 298 300 342 352 388	-307027125418
STPT(10)	1431337471569917081	0 2 30 32 78 80 126 128 156 158	-294248075988
SPT(16)	1431337615548801787	0 12 136 144 150 190 220 276 310 366 396 436 442 450 574 586	-150269191282
STPT(10)	1431337698044967899	0 2 18 20 30 32 42 44 60 62	-67773025170
STPT(10)	1431337749108019937	0 2 30 32 60 62 90 92 120 122	-16709973132
TPT(14)	1431337772517534821	0 2 18 20 30 32 36 38 156 158 216 218 258 260	6699541752
SPT(16)	1431338095505878501	0 16 22 30 78 96 166 198 340 372 442 460 508 516 522 538	329687885432
SPT(16)	1431338183967336301	0 28 48 52 72 82 132 150 160 178 228 238 258 262 282 310	418149343232
STPT(10)	1431338354376165797	0 2 42 44 72 74 102 104 144 146	588558172728
STPT(10)	1431338516078730599	0 2 18 20 30 32 42 44 60 62	750260737530