Prime p₀= 2338859536449343153 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 72 30 30 30 24 24 30 30 30 72 24 (?)
a_n: 0 24 96 126 156 186 210 234 264 294 324 396 420
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, 24 72 30 30 30 24

SPT(16)	2338857380099934779	0 38 108 114 144 152 170 180 182 192 210 218 248 254 324 362	-2156349408374
STPT(10)	2338857585674692109	0 2 18 20 30 32 42 44 60 62	-1950774651044
STPT(10)	2338858170865556279	0 2 18 20 30 32 42 44 60 62	-1365583786874
SPT(16)	2338858256232293977	0 16 54 76 102 156 180 192 244 256 280 334 360 382 420 436	-1280217049176
SPT(16)	2338858268783733877	0 52 112 120 166 190 270 300 376 406 486 510 556 564 624 676	-1267665609276
STPT(10)	2338859047886581019	0 2 48 50 60 62 72 74 120 122	-488562762134
SPT(16)	2338859979622535389	0 10 12 40 42 72 114 238 294 418 460 490 492 520 522 532	443173192236
SPT(16)	2338860089463567701	0 20 56 98 122 146 192 210 278 296 342 366 390 432 468 488	553014224548
SPT(16)	2338860709137272207	0 24 26 56 90 104 110 116 180 186 192 206 240 270 272 296	1172687929054
SPT(18)	2338860807568789927	0 10 22 30 36 82 120 126 142 174 190 196 234 280 286 294 306 316	1271119446774
STPT(10)	2338861011722785787	0 2 30 32 42 44 54 56 84 86	1475273442634