Prime p₀= 347344663922632549 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 40 90 8 12 6 22 6 12 8 90 40 24 (?)
a_n: 0 24 64 154 162 174 180 202 208 220 228 318 358 382
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: 382
Found by: Theadalus
db: batch=70, k=14, 24 40 90 8 12 6 22

SPT(14)	347344618212072839	0 42 72 102 108 134 180 182 228 254 260 290 320 362	-45710559710
TPT(12)	347344623047503691	0 2 36 38 96 98 120 122 156 158 210 212	-40875128858
SPT(14)	347344623458542751	0 26 32 60 66 96 122 126 152 182 188 216 222 248	-40464089798
SPT(14)	347344639765607551	0 6 42 58 82 100 126 172 198 216 240 256 292 298	-24157024998
SPT(14)	347344655481829793	0 30 60 84 86 98 144 170 216 228 230 254 284 314	-8440802756
SPT(14)	347344663351350089	0 14 32 38 42 54 98 144 188 200 204 210 228 242	-571282460
SPT(14)	347344665433020373	0 10 18 46 54 70 88 96 114 130 138 166 174 184	1510387824
SPT(14)	347344666161372353	0 38 78 80 96 110 140 144 174 188 204 206 246 284	2238739804
SPT(14)	347344671150007603	0 90 130 168 196 226 228 268 270 300 328 366 406 496	7227375054
TPT(12)	347344673042283617	0 2 30 32 72 74 84 86 162 164 204 206	9119651068
SPT(14)	347344709851703899	0 18 34 88 100 144 150 262 268 312 324 378 394 412	45929071350