Prime p₀= 518724528392489411 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 20 54 42 30 18 22 18 30 42 54 20 6 (?)
a_n: 0 6 26 80 122 152 170 192 210 240 282 336 356 362
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: 362
Found by: scrap
db: batch=71, k=14, 6 20 54 42 30 18 22

SPT(14)	518724438399161923	0 40 60 76 78 144 166 168 190 256 258 274 294 334	-89993327488
SPT(14)	518724445349793071	0 6 20 32 48 86 90 98 102 140 156 168 182 188	-83042696340
SPT(14)	518724465267494399	0 2 18 62 104 140 144 158 162 198 240 284 300 302	-63124995012
STPT(10)	518724485128612517	0 2 42 44 72 74 102 104 144 146	-43263876894
SPT(14)	518724503375036071	0 10 18 60 70 100 148 192 240 270 280 322 330 340	-25017453340
SPT(14)	518724521573287039	0 22 28 30 90 132 142 168 178 220 280 282 288 310	-6819202372
SPT(14)	518724541248692203	0 54 60 66 76 168 174 340 346 438 448 454 460 514	12856202792
SPT(14)	518724567415834649	0 2 20 72 90 140 150 224 234 284 302 354 372 374	39023345238
TPT(12)	518724590739522647	0 2 60 62 72 74 84 86 102 104 132 134	62347033236
SPT(14)	518724605816879687	0 2 12 66 86 96 122 144 170 180 200 254 264 266	77424390276
SPT(14)	518724616845515831	0 2 32 36 50 60 72 86 98 108 122 126 156 158	88453026420