Prime p₀= 1531132574881935871 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 30 6 6 30 24 24 30 6 6 30 30 (?)
a_n: 0 30 60 66 72 102 126 150 180 186 192 222 252
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: 252
Found by: Spectrum
db: batch=78, k=13, 30 30 6 6 30 24

SPT(16)	1531131953462991883	0 24 70 76 90 100 150 208 336 394 444 454 468 474 520 544	-621418943988
STPT(10)	1531131988834260737	0 2 12 14 42 44 72 74 84 86	-586047675134
STPT(10)	1531132252991373647	0 2 24 26 42 44 60 62 84 86	-321890562224
STPT(10)	1531132318127463587	0 2 30 32 42 44 54 56 84 86	-256754472284
SPT(16)	1531132385619763879	0 12 54 60 84 102 112 124 150 162 172 190 214 220 262 274	-189262171992
STPT(10)	1531132450616995907	0 2 90 92 102 104 114 116 204 206	-124264939964
SPT(16)	1531132834446517163	0 50 54 56 80 98 156 164 210 218 276 294 318 320 324 374	259564581292
SPT(16)	1531133279646510731	0 2 38 90 116 140 158 228 380 450 468 492 518 570 606 608	704764574860
SPT(16)	1531133619650637911	0 60 62 72 96 108 150 152 186 188 230 242 266 276 278 338	1044768702040
SPT(16)	1531133822011053067	0 30 40 42 52 54 70 126 190 246 262 264 274 276 286 316	1247129117196
SPT(16)	1531133979116391047	0 12 26 104 116 140 144 146 180 182 186 210 222 300 314 326	1404234455176