Prime p₀= 419361360759874957 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 120 32 4 20 22 62 22 20 4 32 120 4 (?)
a_n: 0 4 124 156 160 180 202 264 286 306 310 342 462 466
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: 466
Found by: Theadalus
db: batch=70, k=14, 4 120 32 4 20 22 62

TPT(12)	419361265356803267	0 2 24 26 54 56 84 86 114 116 120 122	-95403071690
SPT(14)	419361282418818709	0 22 34 54 78 112 120 202 210 244 268 288 300 322	-78341056248
SPT(14)	419361286005527609	0 30 42 78 102 108 182 228 302 308 332 368 380 410	-74754347348
SPT(14)	419361286257417349	0 10 42 70 84 108 118 174 184 208 222 250 282 292	-74502457608
STPT(10)	419361343412081141	0 2 36 38 78 80 120 122 156 158	-17347793816
SPT(14)	419361358855853041	0 42 46 52 82 90 112 150 172 180 210 216 220 262	-1904021916
SPT(16)	419361401670819577	0 4 6 12 82 102 114 124 162 172 184 204 274 280 282 286	40910944620
SPT(14)	419361409635038219	0 32 42 48 90 108 140 150 182 200 242 248 258 290	48875163262
TPT(12)	419361411385661207	0 2 12 14 24 26 222 224 462 464 534 536	50625786250
SPT(14)	419361411876423607	0 12 100 136 142 154 156 160 162 174 180 216 304 316	51116548650
TPT(12)	419361424925473571	0 2 6 8 36 38 48 50 78 80 156 158	64165598614