Prime p₀= 2776223729483404241 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 12 42 18 6 2 40 62 40 2 6 18 42 12 18 (?)
a_n: 0 18 30 72 90 96 98 138 200 240 242 248 266 308 320 338
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: 338
Found by: Roadranner
db: batch=82, k=16, 18 12 42 18 6 2 40 62

SPT(16)	2776222882813827929	0 62 72 104 144 152 170 210 242 282 300 308 348 380 390 452	-846669576312
STPT(10)	2776222884458693597	0 2 42 44 72 74 102 104 144 146	-845024710644
SPT(16)	2776223128925731157	0 50 60 66 122 164 180 186 200 206 222 264 320 326 336 386	-600557673084
SPT(16)	2776223147847631327	0 52 76 82 84 112 130 132 214 216 234 262 264 270 294 346	-581635772914
STPT(10)	2776223382412513181	0 2 36 38 78 80 120 122 156 158	-347070891060
SPT(16)	2776223470601092619	0 20 24 38 72 84 132 134 198 200 248 260 294 308 312 332	-258882311622
STPT(10)	2776223861711408567	0 2 30 32 42 44 54 56 84 86	132228004326
SPT(16)	2776224010928676727	0 46 72 82 144 160 196 216 220 240 276 292 354 364 390 436	281445272486
STPT(10)	2776224158531269007	0 2 42 44 72 74 102 104 144 146	429047864766
SPT(16)	2776224628769511149	0 18 20 44 48 62 68 90 152 174 180 194 198 222 224 242	899286106908
SPT(16)	2776224737479673351	0 48 86 98 102 152 156 180 188 212 216 266 270 282 320 368	1007996269110