Prime p₀= 2322982256744582581 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 114 6 12 18 12 12 18 12 6 114 36 (?)
a_n: 0 36 150 156 168 186 198 210 228 240 246 360 396
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: 396
Found by: Orange Kid
db: batch=81, k=13, 36 114 6 12 18 12

SPT(16)	2322981197628724937	0 12 54 56 104 120 146 174 212 240 266 282 330 332 374 386	-1059115857644
SPT(16)	2322981219358713127	0 4 34 70 76 184 186 210 370 394 396 504 510 546 576 580	-1037385869454
STPT(10)	2322981441637499507	0 2 12 14 72 74 132 134 144 146	-815107083074
SPT(16)	2322981590230645283	0 20 56 134 168 210 284 288 296 300 374 416 450 528 564 584	-666513937298
STPT(10)	2322981612928035971	0 2 6 8 18 20 30 32 36 38	-643816546610
SPT(16)	2322981776844657977	0 12 20 86 116 122 132 144 152 164 174 180 210 276 284 296	-479899924604
SPT(16)	2322982718421064153	0 4 28 34 88 124 174 238 240 304 354 390 444 450 474 478	461676481572
STPT(10)	2322982880653635227	0 2 30 32 42 44 54 56 84 86	623909052646
SPT(16)	2322982910856476093	0 30 98 114 128 150 176 180 224 228 254 276 290 306 374 404	654111893512
SPT(16)	2322983000449495171	0 22 42 46 60 90 100 112 120 132 142 172 186 190 210 232	743704912590
SPT(16)	2322983156418705161	0 2 8 78 90 128 140 168 182 210 222 260 272 342 348 350	899674122580