Prime p₀= 2776223470601092619 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 4 14 34 12 48 2 64 2 48 12 34 14 4 20 (?)
a_n: 0 20 24 38 72 84 132 134 198 200 248 260 294 308 312 332
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: 332
Found by: Roadranner
db: batch=82, k=16, 20 4 14 34 12 48 2 64

SPT(16)	2776222619794694183	0 68 84 138 168 180 194 198 236 240 254 266 296 350 366 434	-850806398436
SPT(16)	2776222882813827929	0 62 72 104 144 152 170 210 242 282 300 308 348 380 390 452	-587787264690
STPT(10)	2776222884458693597	0 2 42 44 72 74 102 104 144 146	-586142399022
SPT(16)	2776223128925731157	0 50 60 66 122 164 180 186 200 206 222 264 320 326 336 386	-341675361462
SPT(16)	2776223147847631327	0 52 76 82 84 112 130 132 214 216 234 262 264 270 294 346	-322753461292
STPT(10)	2776223382412513181	0 2 36 38 78 80 120 122 156 158	-88188579438
SPT(16)	2776223729483404241	0 18 30 72 90 96 98 138 200 240 242 248 266 308 320 338	258882311622
STPT(10)	2776223861711408567	0 2 30 32 42 44 54 56 84 86	391110315948
SPT(16)	2776224010928676727	0 46 72 82 144 160 196 216 220 240 276 292 354 364 390 436	540327584108
STPT(10)	2776224158531269007	0 2 42 44 72 74 102 104 144 146	687930176388
SPT(16)	2776224628769511149	0 18 20 44 48 62 68 90 152 174 180 194 198 222 224 242	1158168418530