Prime p₀= 2379163757277018857 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 30 60 24 36 24 24 36 24 60 30 36 (?)
a_n: 0 36 66 126 150 186 210 234 270 294 354 384 420
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: Landjunge
db: batch=81, k=13, 36 30 60 24 36 24

SPT(16)	2379163014912370133	0 14 24 38 68 96 98 144 230 276 278 306 336 350 360 374	-742364648724
SPT(16)	2379163238278895171	0 8 26 78 96 122 140 176 192 228 246 272 290 342 360 368	-518998123686
SPT(16)	2379163355056504637	0 14 20 54 56 62 74 96 110 132 144 150 152 186 192 206	-402220514220
SPT(16)	2379163380737680357	0 60 72 100 106 130 132 142 174 184 186 210 216 244 256 316	-376539338500
STPT(12)	2379163525040970917	0 2 12 14 30 32 42 44 60 62 72 74	-232236047940
SPT(16)	2379163560910505471	0 18 50 116 128 152 176 198 200 222 246 270 282 348 380 398	-196366513386
SPT(18)	2379164005394795393	0 54 66 164 168 216 260 284 326 378 420 444 488 536 540 638 650 704	248117776536
SPT(16)	2379164039529201779	0 8 44 72 84 138 152 162 170 180 194 248 260 288 324 332	282252182922
SPT(16)	2379164064005723497	0 10 12 46 54 60 76 100 126 150 166 172 180 214 216 226	306728704640
SPT(16)	2379164077557861701	0 6 78 90 98 156 246 260 378 392 482 540 548 560 632 638	320280842844
STPT(10)	2379164138518991027	0 2 12 14 42 44 72 74 84 86	381241972170