Prime p₀= 2602351343182618931 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 12 30 12 78 60 60 78 12 30 12 18 (?)
a_n: 0 18 30 60 72 150 210 270 348 360 390 402 420
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 420
Found by: Roadranner
db: batch=82, k=13, 18 12 30 12 78 60

SPT(16)	2602349570360164061	0 30 66 68 120 138 140 180 248 288 290 308 360 362 398 428	-1772822454870
STPT(10)	2602349574640135289	0 2 12 14 30 32 48 50 60 62	-1768542483642
SPT(16)	2602350733986911519	0 14 20 24 44 62 72 132 170 230 240 258 278 282 288 302	-609195707412
SPT(16)	2602350779688906887	0 12 14 50 54 56 92 102 134 144 180 182 186 222 224 236	-563493712044
STPT(10)	2602351005125584091	0 2 36 38 78 80 120 122 156 158	-338057034840
STPT(10)	2602351079521846307	0 2 54 56 72 74 90 92 144 146	-263660772624
SPT(16)	2602351592816838761	0 30 62 78 90 92 120 132 248 260 288 290 302 318 350 380	249634219830
SPT(16)	2602351705343323771	0 36 118 132 162 178 190 216 292 318 330 346 376 390 472 508	362160704840
STPT(10)	2602351726804155509	0 2 42 44 120 122 198 200 240 242	383621536578
SPT(16)	2602351796752341773	0 6 14 20 24 86 98 104 150 156 168 230 234 240 248 254	453569722842
SPT(16)	2602351914125105981	0 2 18 26 66 86 126 138 170 182 222 242 282 290 306 308	570942487050