Prime p₀= 336023105604169729 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 18 8 34 36 14 4 14 36 34 8 18 4 (?)
a_n: 0 4 22 30 64 100 114 118 132 168 202 210 228 232
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: 232
Found by: Cruncher Pete
db: batch=70, k=14, 4 18 8 34 36 14 4

SPT(14)	336023037024873047	0 12 56 72 122 150 156 230 236 264 314 330 374 386	-68579296682
SPT(14)	336023040594254173	0 24 46 66 70 114 154 156 196 240 244 264 286 310	-65009915556
SPT(14)	336023045703015533	0 18 20 24 98 108 134 174 200 210 284 288 290 308	-59901154196
SPT(14)	336023047561496363	0 54 78 104 138 146 150 164 168 176 210 236 260 314	-58042673366
SPT(14)	336023060750544917	0 12 24 32 66 116 176 210 270 320 354 362 374 386	-44853624812
SPT(16)	336023069050135561	0 30 40 90 150 178 180 198 220 238 240 268 328 378 388 418	-36554034168
TPT(14)	336023130059142389	0 2 42 44 48 50 78 80 120 122 210 212 348 350	24454972660
SPT(14)	336023133774928051	0 18 28 40 48 70 78 88 96 118 126 138 148 166	28170758322
SPT(14)	336023137242895787	0 2 12 72 80 84 114 122 152 156 164 224 234 236	31638726058
SPT(20)	336023145368542483	0 34 70 90 144 228 244 298 306 348 376 418 426 480 496 580 634 654 690 724	39764372754
SPT(14)	336023162747278241	0 20 60 78 98 132 138 140 146 180 200 218 258 278	57143108512