Prime p₀= 2680378371412288543 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 42 18 6 6 54 54 6 6 18 42 24 (?)
a_n: 0 24 66 84 90 96 150 204 210 216 234 276 300
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: 300
Found by: JayPi
db: batch=82, k=13, 24 42 18 6 6 54

SPT(16)	2680377751080622003	0 46 94 120 130 154 244 270 280 306 396 420 430 456 504 550	-620331666540
SPT(16)	2680377895524303119	0 14 38 74 80 104 120 150 158 188 204 228 234 270 294 308	-475887985424
SPT(16)	2680377977957866213	0 10 18 88 126 136 186 198 238 250 300 310 348 418 426 436	-393454422330
SPT(16)	2680378117909175443	0 6 28 30 60 100 106 204 250 348 354 394 424 426 448 454	-253503113100
SPT(16)	2680378128962758663	0 6 24 40 54 60 76 106 108 138 154 160 174 190 208 214	-242449529880
STPT(10)	2680378150759367687	0 2 30 32 72 74 114 116 144 146	-220652920856
STPT(10)	2680378820606110439	0 2 12 14 30 32 48 50 60 62	449193821896
SPT(16)	2680378906936412831	0 6 8 48 50 80 86 102 146 162 168 198 200 240 242 248	535524124288
STPT(10)	2680378937018481701	0 2 30 32 60 62 90 92 120 122	565606193158
TPT(14)	2680379043379884557	0 2 12 14 84 86 144 146 252 254 270 272 384 386	671967596014
STPT(10)	2680379220487254017	0 2 30 32 42 44 54 56 84 86	849074965474