Prime p₀= 1588459299459129901 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 12 12 22 38 46 20 16 20 46 38 22 12 12 6 (?)
a_n: 0 6 18 30 52 90 136 156 172 192 238 276 298 310 322 328
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: 328
Found by: emoga
db: batch=78, k=16, 6 12 12 22 38 46 20 16

SPT(16)	1588457963300119741	0 12 40 48 82 102 112 126 172 186 196 216 250 258 286 298	-1336159010160
STPT(10)	1588457972587516991	0 2 36 38 78 80 120 122 156 158	-1326871612910
STPT(10)	1588457994561663521	0 2 6 8 18 20 30 32 36 38	-1304897466380
TPT(14)	1588458736608503531	0 2 48 50 120 122 168 170 258 260 300 302 336 338	-562850626370
TPT(14)	1588459017949572887	0 2 60 62 180 182 240 242 282 284 354 356 420 422	-281509557014
SPT(16)	1588459138675602311	0 20 62 152 188 210 216 228 230 242 248 270 306 396 438 458	-160783527590
SPT(16)	1588459449400247737	0 4 54 60 82 84 106 112 144 150 172 174 196 202 252 256	149941117836
STPT(10)	1588459555017712847	0 2 30 32 42 44 54 56 84 86	255558582946
SPT(16)	1588459916711853149	0 18 48 68 74 122 132 144 188 200 210 258 264 284 314 332	617252723248
STPT(10)	1588459925080327457	0 2 54 56 72 74 90 92 144 146	625621197556
TPT(14)	1588460184745304111	0 2 90 92 150 152 168 170 180 182 216 218 246 248	885286174210