Prime p₀= 303864578174150057 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 24 28 2 28 2 4 2 28 2 28 24 32 (?)
a_n: 0 32 56 84 86 114 116 120 122 150 152 180 204 236
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: 236
Found by: scrap
db: batch=69, k=14, 32 24 28 2 28 2 4

SPT(14)	303864520439494067	0 20 42 60 102 140 144 212 216 254 296 314 336 356	-57734655990
TPT(12)	303864530968142171	0 2 60 62 66 68 96 98 108 110 156 158	-47206007886
SPT(14)	303864531541083739	0 72 240 244 252 262 274 288 300 310 318 322 490 562	-46633066318
SPT(14)	303864535019265887	0 24 32 36 44 60 102 104 146 162 170 174 182 206	-43154884170
SPT(14)	303864573873330523	0 48 78 96 106 148 154 180 186 228 238 256 286 334	-4300819534
SPT(14)	303864575798208539	0 24 48 78 98 170 204 218 252 324 344 374 398 422	-2375941518
SPT(14)	303864589495871269	0 52 54 82 108 118 130 132 144 154 180 208 210 262	11321721212
SPT(16)	303864629131683619	0 28 30 42 58 70 82 130 180 228 240 252 268 280 282 310	50957533562
TPT(12)	303864645634426727	0 2 12 14 54 56 90 92 114 116 132 134	67460276670
SPT(14)	303864652209464429	0 68 80 90 108 182 194 228 240 314 332 342 354 422	74035314372
TPT(12)	303864665260287869	0 2 48 50 78 80 132 134 150 152 168 170	87086137812