Prime p₀= 347344671150007603 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 90 40 38 28 30 2 40 2 30 28 38 40 90 (?)
a_n: 0 90 130 168 196 226 228 268 270 300 328 366 406 496
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 496
Found by: Theadalus
db: batch=70, k=14, 90 40 38 28 30 2 40

SPT(14)	347344639765607551	0 6 42 58 82 100 126 172 198 216 240 256 292 298	-31384400052
SPT(14)	347344655481829793	0 30 60 84 86 98 144 170 216 228 230 254 284 314	-15668177810
SPT(14)	347344663351350089	0 14 32 38 42 54 98 144 188 200 204 210 228 242	-7798657514
SPT(14)	347344663922632549	0 24 64 154 162 174 180 202 208 220 228 318 358 382	-7227375054
SPT(14)	347344665433020373	0 10 18 46 54 70 88 96 114 130 138 166 174 184	-5716987230
SPT(14)	347344666161372353	0 38 78 80 96 110 140 144 174 188 204 206 246 284	-4988635250
TPT(12)	347344673042283617	0 2 30 32 72 74 84 86 162 164 204 206	1892276014
SPT(14)	347344709851703899	0 18 34 88 100 144 150 262 268 312 324 378 394 412	38701696296
TPT(12)	347344709961799601	0 2 6 8 18 20 30 32 78 80 126 128	38811791998
SPT(14)	347344720766903921	0 8 12 68 78 90 92 138 140 152 162 218 222 230	49616896318
SPT(14)	347344734117380581	0 10 18 58 60 70 88 108 126 136 138 178 186 196	62967372978