Prime p₀= 404883299429921089 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 2 10 56 36 24 16 24 36 56 10 2 10 (?)
a_n: 0 10 12 22 78 114 138 154 178 214 270 280 282 292
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: 292
Found by: Cruncher Pete
db: batch=70, k=14, 10 2 10 56 36 24 16

SPT(14)	404883220482205547	0 42 80 102 104 140 162 164 186 222 224 246 284 326	-78947715542
SPT(14)	404883250766457739	0 30 40 84 94 100 108 154 162 168 178 222 232 262	-48663463350
SPT(14)	404883265384118281	0 22 40 60 82 90 118 132 160 168 190 210 228 250	-34045802808
TPT(12)	404883274646103767	0 2 24 26 42 44 54 56 90 92 132 134	-24783817322
SPT(14)	404883277988089699	0 42 84 144 148 178 190 192 204 234 238 298 340 382	-21441831390
SPT(14)	404883293194044781	0 46 88 138 156 166 172 366 372 382 400 450 492 538	-6235876308
STPT(10)	404883309073089359	0 2 42 44 60 62 78 80 120 122	9643168270
SPT(14)	404883349014932219	0 42 50 80 90 104 132 152 180 194 204 234 242 284	49585011130
TPT(12)	404883386887959611	0 2 60 62 90 92 156 158 168 170 300 302	87458038522
SPT(14)	404883418910205569	0 32 50 74 80 90 110 132 152 162 168 192 210 242	119480284480
SPT(14)	404883420089569789	0 40 42 58 82 90 112 168 190 198 222 238 240 280	120659648700