Prime p₀= 820083443715723349 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 18 70 20 12 10 18 102 20 28 20 102 18 10 12 20 70 18 (?)
a_n: 0 18 88 108 120 130 148 250 270 298 318 420 438 448 460 480 550 568
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 568
Found by: Coleslaw
db: batch=73, k=18, 18 70 20 12 10 18 102 20 28

SPT(16)	820082429898698101	0 10 16 22 76 102 120 126 136 142 160 186 240 246 252 262	-1013817025248
TPT(14)	820082525685323441	0 2 6 8 90 92 228 230 396 398 456 458 498 500	-918030399908
STPT(10)	820082678676339311	0 2 36 38 78 80 120 122 156 158	-765039384038
STPT(10)	820082807410082927	0 2 42 44 72 74 102 104 144 146	-636305640422
SPT(16)	820082986573222441	0 70 130 150 168 180 186 192 196 202 208 220 238 258 318 388	-457142500908
SPT(16)	820083120408554363	0 6 56 60 78 104 126 128 186 188 210 236 254 258 308 314	-323307168986
SPT(16)	820083519799285873	0 46 48 108 160 174 178 234 280 336 340 354 406 466 468 514	76083562524
SPT(16)	820083591229084211	0 12 72 78 80 98 108 152 168 212 222 240 242 248 308 320	147513360862
STPT(10)	820083751021055957	0 2 42 44 72 74 102 104 144 146	307305332608
SPT(16)	820084042038530287	0 16 96 106 132 162 166 184 222 240 244 274 300 310 390 406	598322806938
SPT(16)	820084409634448547	0 44 56 80 176 180 182 294 332 444 446 450 546 570 582 626	965918725198