Prime p₀= 378642110552100029 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 80 4 26 58 38 22 38 58 26 4 80 24 (?)
a_n: 0 24 104 108 134 192 230 252 290 348 374 378 458 482
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: 482
Found by: Cruncher Pete
db: batch=70, k=14, 24 80 4 26 58 38 22

SPT(14)	378642029558650301	0 26 56 86 96 108 132 146 170 182 192 222 252 278	-80993449728
SPT(14)	378642044343144317	0 2 30 74 86 176 182 264 270 360 372 416 444 446	-66208955712
TPT(12)	378642051322669259	0 2 12 14 72 74 102 104 222 224 318 320	-59229430770
SPT(14)	378642059782062641	0 6 36 42 48 96 116 162 182 230 236 242 272 278	-50770037388
SPT(14)	378642078281728769	0 8 50 62 98 138 162 200 224 264 300 312 354 362	-32270371260
SPT(14)	378642101682814883	0 30 36 78 116 134 144 170 180 198 236 278 284 314	-8869285146
SPT(14)	378642116619659597	0 12 96 146 180 206 260 306 360 386 420 470 554 566	6067559568
SPT(14)	378642120601106099	0 2 8 30 44 80 90 122 132 168 182 204 210 212	10049006070
SPT(14)	378642124321161109	0 54 70 90 94 100 114 118 132 138 142 162 178 232	13769061080
SPT(14)	378642146232218593	0 30 36 60 88 90 118 126 154 156 184 208 214 244	35680118564
SPT(16)	378642155424859567	0 40 66 90 132 150 192 196 216 220 262 280 322 346 372 412	44872759538