Prime p₀= 813637922043400967 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 14 36 96 10 14 34 30 6 26 6 30 34 14 10 96 36 14 (?)
a_n: 0 14 50 146 156 170 204 234 240 266 272 302 336 350 360 456 492 506
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 506
Found by: matali
db: batch=73, k=18, 14 36 96 10 14 34 30 6 26

TPT(14)	813637240094504849	0 2 18 20 48 50 60 62 72 74 132 134 168 170	-681948896118
TPT(14)	813637320303719687	0 2 12 14 24 26 72 74 114 116 144 146 150 152	-601739681280
SPT(16)	813637352878901141	0 12 42 56 86 92 120 132 170 182 210 216 246 260 290 302	-569164499826
SPT(13)	813637556672700703	0 30 108 168 210 228 234 240 258 300 360 438 468	-365370700264
SPT(16)	813637666931572523	0 14 36 56 80 96 104 140 174 210 218 234 258 278 300 314	-255111828444
SPT(16)	813637859072739577	0 10 16 52 126 142 154 192 304 342 354 370 444 480 486 496	-62970661390
SPT(16)	813638053623325739	0 12 54 90 120 132 134 168 194 228 230 242 272 308 350 362	131579924772
STPT(10)	813638063883289037	0 2 30 32 42 44 54 56 84 86	141839888070
SPT(16)	813638124440295883	0 4 16 28 54 58 120 156 178 214 276 280 306 318 330 334	202396894916
SPT(16)	813638248429016599	0 28 52 88 168 172 190 228 232 270 288 292 372 408 432 460	326385615632
STPT(10)	813638436936418937	0 2 30 32 42 44 54 56 84 86	514893017970