Prime p₀= 2998549663435391851 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 30 36 18 6 30 30 6 18 36 30 36 (?)
a_n: 0 36 66 102 120 126 156 186 192 210 246 276 312
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: 312
Found by: Orange Kid
db: batch=82, k=13, 36 30 36 18 6 30

SPT(16)	2998547080608315073	0 18 24 28 36 70 96 120 154 178 204 238 246 250 256 274	-2582827076778
STPT(10)	2998547112562256537	0 2 60 62 72 74 84 86 144 146	-2550873135314
SPT(16)	2998547802938961869	0 18 44 68 72 78 98 102 110 114 134 140 144 168 194 212	-1860496429982
SPT(16)	2998547845987661467	0 16 42 100 106 126 162 166 180 184 220 240 246 304 330 346	-1817447730384
STPT(10)	2998549027211689319	0 2 18 20 30 32 42 44 60 62	-636223702532
SPT(16)	2998549243191838307	0 6 14 56 102 140 164 252 254 342 366 404 450 492 500 506	-420243553544
STPT(10)	2998549690288531007	0 2 30 32 72 74 114 116 144 146	26853139156
SPT(16)	2998549748737661399	0 14 24 54 72 92 134 140 222 228 270 290 308 338 348 362	85302269548
STPT(10)	2998549900879363811	0 2 36 38 78 80 120 122 156 158	237443971960
SPT(16)	2998550088074840543	0 24 30 60 98 156 194 200 264 270 308 366 404 434 440 464	424639448692
SPT(18)	2998550676307067179	0 18 42 88 90 100 102 132 168 244 280 310 312 322 324 370 394 412	1012871675328