Prime p₀= 410949778938544927 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 10 54 114 20 36 10 36 20 114 54 10 6 (?)
a_n: 0 6 16 70 184 204 240 250 286 306 420 474 484 490
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: 490
Found by: [SG-FC] hl
db: batch=70, k=14, 6 10 54 114 20 36 10

SPT(14)	410949710935892371	0 42 48 66 78 106 132 166 192 220 232 250 256 298	-68002652556
SPT(14)	410949723052241431	0 10 42 70 76 78 88 90 100 102 108 136 168 178	-55886303496
TPT(12)	410949730080947051	0 2 36 38 66 68 78 80 156 158 168 170	-48857597876
SPT(14)	410949749543769703	0 24 54 66 156 166 168 196 198 208 298 310 340 364	-29394775224
SPT(14)	410949750822137479	0 10 40 82 88 184 228 274 318 414 420 462 492 502	-28116407448
STPT(10)	410949754031533181	0 2 36 38 108 110 180 182 216 218	-24907011746
SPT(14)	410949810565019963	0 6 14 80 86 116 146 168 198 228 234 300 308 314	31626475036
SPT(14)	410949823944260819	0 32 102 212 228 242 260 312 330 344 360 470 540 572	45005715892
SPT(14)	410949841038470423	0 54 56 86 96 98 114 200 216 218 228 258 260 314	62099925496
SPT(14)	410949865861246981	0 12 40 42 66 76 90 118 132 142 166 168 196 208	86922702054
TPT(12)	410949866541152987	0 2 24 26 102 104 114 116 240 242 252 254	87602608060