Prime p₀= 1588459138675602311 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 42 90 36 22 6 12 2 12 6 22 36 90 42 20 (?)
a_n: 0 20 62 152 188 210 216 228 230 242 248 270 306 396 438 458
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 458
Found by: emoga
db: batch=78, k=16, 20 42 90 36 22 6 12 2

SPT(16)	1588457942774135683	0 34 64 90 106 130 178 196 228 246 294 318 334 360 390 424	-1195901466628
SPT(16)	1588457963300119741	0 12 40 48 82 102 112 126 172 186 196 216 250 258 286 298	-1175375482570
STPT(10)	1588457972587516991	0 2 36 38 78 80 120 122 156 158	-1166088085320
STPT(10)	1588457994561663521	0 2 6 8 18 20 30 32 36 38	-1144113938790
TPT(14)	1588458736608503531	0 2 48 50 120 122 168 170 258 260 300 302 336 338	-402067098780
TPT(14)	1588459017949572887	0 2 60 62 180 182 240 242 282 284 354 356 420 422	-120726029424
SPT(16)	1588459299459129901	0 6 18 30 52 90 136 156 172 192 238 276 298 310 322 328	160783527590
SPT(16)	1588459449400247737	0 4 54 60 82 84 106 112 144 150 172 174 196 202 252 256	310724645426
STPT(10)	1588459555017712847	0 2 30 32 42 44 54 56 84 86	416342110536
SPT(16)	1588459916711853149	0 18 48 68 74 122 132 144 188 200 210 258 264 284 314 332	778036250838
STPT(10)	1588459925080327457	0 2 54 56 72 74 90 92 144 146	786404725146