Prime p₀= 3242848705192021 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 22 18 32 58 24 26 24 58 32 18 22 6 (?)
a_n: 0 6 28 46 78 136 160 186 210 268 300 318 340 346
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: 346
Found by: Dario666
db: batch=61, k=14, 6 22 18 32 58 24 26

SPT(14)	3242795277047467	0 4 10 16 36 42 64 192 214 220 240 246 252 256	-53428144554
TPT(12)	3242805573455597	0 2 42 44 114 116 144 146 162 164 210 212	-43131736424
TPT(12)	3242807434860659	0 2 12 14 72 74 78 80 108 110 120 122	-41270331362
SPT(16)	3242821001941979	0 20 24 42 44 50 132 150 152 170 252 258 260 278 282 302	-27703250042
SPT(14)	3242825725005577	0 16 42 46 100 112 124 132 144 156 210 214 240 256	-22980186444
SPT(14)	3242845497692891	0 48 62 68 72 146 150 188 192 266 270 276 290 338	-3207499130
SPT(14)	3242857329852347	0 6 26 30 42 62 72 74 84 104 116 120 140 146	8624660326
SPT(14)	3242875592882017	0 24 42 60 72 112 120 136 144 184 196 214 232 256	26887689996
SPT(14)	3242878649491841	0 6 20 26 50 72 140 162 230 252 276 282 296 302	29944299820
SPT(14)	3242879746064689	0 48 52 54 58 64 90 142 168 174 178 180 184 232	31040872668
SPT(14)	3242890064975801	0 30 32 60 86 102 120 128 146 162 188 216 218 248	41359783780