Prime p₀= 2352274794175028483 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 60 84 72 30 18 36 36 18 30 72 84 60 (?)
a_n: 0 60 144 216 246 264 300 336 354 384 456 540 600
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: 600
Found by: Groo
db: batch=81, k=13, 60 84 72 30 18 36

SPT(16)	2352272798144883937	0 22 30 52 64 142 220 234 280 294 372 450 462 484 492 514	-1996030144546
STPT(10)	2352272827230954911	0 2 6 8 48 50 90 92 96 98	-1966944073572
SPT(16)	2352272850442803139	0 18 60 78 112 120 172 202 258 288 340 348 382 400 442 460	-1943732225344
STPT(10)	2352273207751698947	0 2 42 44 72 74 102 104 144 146	-1586423329536
TPT(14)	2352274468820270549	0 2 102 104 162 164 168 170 228 230 240 242 282 284	-325354757934
SPT(16)	2352274702866635821	0 30 36 66 72 136 138 148 240 250 252 316 322 352 358 388	-91308392662
STPT(10)	2352275273166516029	0 2 48 50 90 92 132 134 180 182	478991487546
STPT(10)	2352275279961219047	0 2 30 32 42 44 54 56 84 86	485786190564
STPT(10)	2352277119817237307	0 2 90 92 102 104 114 116 204 206	2325642208824
STPT(10)	2352277187284667297	0 2 54 56 72 74 90 92 144 146	2393109638814
SPT(16)	2352277382283411769	0 42 58 88 102 112 154 160 222 228 270 280 294 324 340 382	2588108383286