Prime p₀= 2316517819086121061 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 78 42 6 12 2 22 44 16 44 22 2 12 6 42 78 (?)
a_n: 0 78 120 126 138 140 162 206 222 266 288 290 302 308 350 428
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: 428
Found by: Orange Kid
db: batch=81, k=16, 78 42 6 12 2 22 44 16

SPT(16)	2316515865893625871	0 16 46 48 60 90 132 142 156 166 208 238 250 252 282 298	-1953192495190
SPT(16)	2316515998992126241	0 16 30 36 78 100 156 168 178 190 246 268 310 316 330 346	-1820093994820
TPT(14)	2316516426121083479	0 2 12 14 60 62 72 74 138 140 168 170 228 230	-1392965037582
STPT(10)	2316516862861027829	0 2 30 32 60 62 90 92 120 122	-956225093232
STPT(12)	2316517451498163917	0 2 12 14 24 26 210 212 222 224 234 236	-367587957144
STPT(10)	2316517606502713037	0 2 30 32 72 74 114 116 144 146	-212583408024
SPT(16)	2316517890833021347	0 10 36 42 52 64 70 94 132 156 162 174 184 190 216 226	71746900286
STPT(10)	2316517947986644151	0 2 36 38 78 80 120 122 156 158	128900523090
SPT(16)	2316517967576445533	0 8 14 68 84 120 150 180 218 248 278 314 330 384 390 398	148490324472
SPT(16)	2316518033430188557	0 36 154 156 180 214 216 246 334 364 366 400 424 426 544 580	214344067496
TPT(14)	2316518276466732431	0 2 30 32 78 80 120 122 156 158 186 188 198 200	457380611370