Prime p₀= 391706981145725389 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 12 138 2 36 4 14 4 36 2 138 12 22 (?)
a_n: 0 22 34 172 174 210 214 228 232 268 270 408 420 442
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: 442
Found by: Cruncher Pete
db: batch=70, k=14, 22 12 138 2 36 4 14

SPT(14)	391706903167638587	0 36 92 140 146 162 170 216 224 240 246 294 350 386	-77978086802
SPT(14)	391706905394637181	0 10 46 52 72 88 112 156 180 196 216 222 258 268	-75751088208
SPT(14)	391706922352624561	0 28 78 96 118 126 130 246 250 258 280 298 348 376	-58793100828
SPT(14)	391706930778335539	0 22 30 52 78 108 120 142 154 184 210 232 240 262	-50367389850
SPT(14)	391706934257825279	0 2 60 80 120 122 132 158 168 170 210 230 288 290	-46887900110
SPT(16)	391706952566276491	0 36 46 60 82 126 132 138 280 286 292 336 358 372 382 418	-28579448898
SPT(14)	391707038957292529	0 22 34 52 94 108 130 132 154 168 210 228 240 262	57811567140
SPT(14)	391707066242464003	0 28 40 108 114 124 184 204 264 274 280 348 360 388	85096738614
SPT(14)	391707072083596319	0 24 44 108 140 144 168 194 218 222 254 318 338 362	90937870930
SPT(14)	391707074174797193	0 36 44 108 116 156 198 206 248 288 296 360 368 404	93029071804
SPT(14)	391707074980718281	0 28 30 82 88 168 220 228 280 360 366 418 420 448	93834992892