Prime p₀= 3242878649491841 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 14 6 24 22 68 22 68 22 24 6 14 6 (?)
a_n: 0 6 20 26 50 72 140 162 230 252 276 282 296 302
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: 302
Found by: Dario666
db: batch=61, k=14, 6 14 6 24 22 68 22

SPT(16)	3242821001941979	0 20 24 42 44 50 132 150 152 170 252 258 260 278 282 302	-57647549862
SPT(14)	3242825725005577	0 16 42 46 100 112 124 132 144 156 210 214 240 256	-52924486264
SPT(14)	3242845497692891	0 48 62 68 72 146 150 188 192 266 270 276 290 338	-33151798950
SPT(14)	3242848705192021	0 6 28 46 78 136 160 186 210 268 300 318 340 346	-29944299820
SPT(14)	3242857329852347	0 6 26 30 42 62 72 74 84 104 116 120 140 146	-21319639494
SPT(14)	3242875592882017	0 24 42 60 72 112 120 136 144 184 196 214 232 256	-3056609824
SPT(14)	3242879746064689	0 48 52 54 58 64 90 142 168 174 178 180 184 232	1096572848
SPT(14)	3242890064975801	0 30 32 60 86 102 120 128 146 162 188 216 218 248	11415483960
SPT(14)	3242896041345427	0 10 22 34 52 54 64 432 442 444 462 474 486 496	17391853586
STPT(10)	3242902214611427	0 2 30 32 42 44 54 56 84 86	23565119586
SPT(14)	3242902352208947	0 24 36 50 60 72 110 126 164 176 186 200 212 236	23702717106