Prime p₀= 2509421496539254727 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 18 12 60 30 24 24 30 60 12 18 6 (?)
a_n: 0 6 24 36 96 126 150 174 204 264 276 294 300
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: [SG-FC] hl
db: batch=82, k=13, 6 18 12 60 30 24

SPT(16)	2509420563996286657	0 6 16 30 34 40 84 90 160 166 210 216 220 234 244 250	-932542968070
STPT(10)	2509420641755388341	0 2 36 38 78 80 120 122 156 158	-854783866386
SPT(16)	2509420801764551767	0 24 52 54 70 94 114 166 240 292 312 336 352 354 382 406	-694774702960
STPT(10)	2509420935149799887	0 2 60 62 72 74 84 86 144 146	-561389454840
STPT(10)	2509421024232151649	0 2 42 44 90 92 138 140 180 182	-472307103078
SPT(16)	2509421057159654383	0 6 40 48 58 126 214 226 228 240 328 396 406 414 448 454	-439379600344
SPT(16)	2509422193807677569	0 38 80 84 102 108 152 170 222 240 284 290 308 312 354 392	697268422842
SPT(16)	2509422402827185777	0 10 46 60 66 72 112 136 156 180 220 226 232 246 282 292	906287931050
SPT(16)	2509423378740442811	0 8 12 56 66 78 98 110 138 150 170 182 192 236 240 248	1882201188084
STPT(10)	2509423385520076811	0 2 36 38 78 80 120 122 156 158	1888980822084
SPT(16)	2509423493513388241	0 6 52 76 102 108 126 130 138 142 160 166 192 216 262 268	1996974133514