Prime p₀= 341678849010101573 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 78 6 14 60 46 14 46 60 14 6 78 6 (?)
a_n: 0 6 84 90 104 164 210 224 270 330 344 350 428 434
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: 434
Found by: Cruncher Pete
db: batch=70, k=14, 6 78 6 14 60 46 14

TPT(12)	341678779069486499	0 2 12 14 18 20 132 134 222 224 342 344	-69940615074
SPT(14)	341678788708352201	0 2 12 32 72 140 152 156 168 236 276 296 306 308	-60301749372
TPT(12)	341678791825449101	0 2 6 8 18 20 156 158 168 170 270 272	-57184652472
SPT(14)	341678824440369991	0 22 40 112 130 178 196 222 240 288 306 378 396 418	-24569731582
SPT(14)	341678825570264197	0 42 70 82 96 100 112 114 126 130 144 156 184 226	-23439837376
TPT(12)	341678846491442387	0 2 12 14 54 56 90 92 174 176 222 224	-2518659186
SPT(14)	341678855867241001	0 22 28 40 48 58 156 172 270 280 288 300 306 328	6857139428
SPT(14)	341678856705506659	0 34 70 72 94 114 124 150 160 180 202 204 240 274	7695405086
SPT(14)	341678864080297297	0 10 16 22 72 100 102 154 156 184 234 240 246 256	15070195724
SPT(14)	341678867395877423	0 14 38 54 60 104 110 144 150 194 200 216 240 254	18385775850
SPT(14)	341678872409443489	0 18 40 48 60 70 72 88 90 100 112 120 142 160	23399341916