Prime p₀= 3027594253764209837 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 60 6 60 54 6 24 24 6 54 60 6 60 (?)
a_n: 0 60 66 126 180 186 210 234 240 294 354 360 420
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: 420
Found by: eclipse99
db: batch=82, k=13, 60 6 60 54 6 24

SPT(16)	3027593319539042609	0 24 42 50 54 68 102 144 158 200 234 248 252 260 278 302	-934225167228
SPT(16)	3027593926416763013	0 56 66 104 144 150 200 254 270 324 374 380 420 458 468 524	-327347446824
STPT(10)	3027594000668425217	0 2 12 14 42 44 72 74 84 86	-253095784620
STPT(10)	3027594040149752399	0 2 18 20 30 32 42 44 60 62	-213614457438
STPT(10)	3027594201894039101	0 2 36 38 78 80 120 122 156 158	-51870170736
STPT(10)	3027594231583809887	0 2 24 26 42 44 60 62 84 86	-22180399950
STPT(10)	3027594468898142291	0 2 36 38 78 80 120 122 156 158	215133932454
STPT(10)	3027594908683645187	0 2 30 32 42 44 54 56 84 86	654919435350
SPT(16)	3027595341547811851	0 12 46 90 102 120 130 138 160 168 178 196 208 252 286 298	1087783602014
SPT(16)	3027595577950627759	0 10 34 52 82 102 144 168 214 238 280 300 330 348 372 382	1324186417922
SPT(16)	3027596403807277597	0 42 52 66 114 126 150 166 180 196 220 232 280 294 304 346	2150043067760