Prime p₀= 813771706708262849 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 6 36 18 30 36 36 30 18 36 6 18 (?)
a_n: 0 18 24 60 78 108 144 180 210 228 264 270 288
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: 288
Found by: [SG]FX
db: batch=73, k=13, 18 6 36 18 30 36

SPT(16)	813770565327921653	0 56 86 126 138 168 180 240 284 344 356 386 398 438 468 524	-1141380341196
STPT(12)	813770637027392477	0 2 24 26 54 56 210 212 240 242 264 266	-1069680870372
SPT(16)	813770653018409551	0 10 36 40 66 138 150 168 178 196 208 280 306 310 336 346	-1053689853298
STPT(10)	813771228006916577	0 2 30 32 72 74 114 116 144 146	-478701346272
TPT(16)	813771341409874961	0 2 66 68 150 152 168 170 180 182 240 242 246 248 450 452	-365298387888
STPT(10)	813771448427514527	0 2 30 32 42 44 54 56 84 86	-258280748322
SPT(16)	813771711957151201	0 18 28 48 102 112 150 160 168 178 216 226 280 300 310 328	5248888352
SPT(16)	813771724228958921	0 6 32 48 72 86 132 150 188 206 252 266 290 306 332 338	17520696072
STPT(10)	813771977398176827	0 2 30 32 60 62 90 92 120 122	270689913978
SPT(16)	813772103098981799	0 38 50 68 92 108 164 194 288 318 374 390 414 432 444 482	396390718950
STPT(10)	813772210214859947	0 2 42 44 102 104 162 164 204 206	503506597098