Prime p₀= 456786885809955773 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 96 14 16 12 8 46 8 12 16 14 96 18 (?)
a_n: 0 18 114 128 144 156 164 210 218 230 246 260 356 374
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: 374
Found by: marsinph
db: batch=70, k=14, 18 96 14 16 12 8 46

SPT(14)	456786838991555123	0 8 80 108 116 156 168 206 218 258 266 294 366 374	-46818400650
SPT(14)	456786848056756219	0 4 48 60 90 100 142 270 312 322 352 364 408 412	-37753199554
SPT(14)	456786849087046339	0 12 42 52 82 94 144 148 198 210 240 250 280 292	-36722909434
SPT(14)	456786854091651299	0 30 144 168 198 240 258 350 368 410 440 464 578 608	-31718304474
SPT(14)	456786856309357417	0 82 84 106 154 180 226 270 316 342 390 412 414 496	-29500598356
SPT(14)	456786863782383083	0 20 26 36 50 74 96 188 210 234 248 258 264 284	-22027572690
SPT(14)	456786896522323069	0 10 22 54 70 72 84 178 190 192 208 240 252 262	10712367296
SPT(14)	456786912556312813	0 4 10 40 54 66 76 144 154 166 180 210 216 220	26746357040
SPT(14)	456786921315172729	0 24 30 54 58 64 78 130 144 150 154 178 184 208	35505216956
SPT(14)	456786923437547341	0 22 28 48 60 78 88 90 100 118 130 150 156 178	37627591568
SPT(14)	456786925017188749	0 84 130 148 184 222 250 312 340 378 414 432 478 562	39207232976