Prime p₀= 2726609535906668131 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 2 34 6 80 10 8 16 8 10 80 6 34 2 46 (?)
a_n: 0 46 48 82 88 168 178 186 202 210 220 300 306 340 342 388
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: 388
Found by: JayPi
db: batch=82, k=16, 46 2 34 6 80 10 8 16

SPT(16)	2726608542305002603	0 30 34 36 40 78 114 118 156 160 196 234 238 240 244 274	-993601665528
SPT(16)	2726608894187822663	0 8 24 48 78 116 120 230 264 374 378 416 446 470 486 494	-641718845468
SPT(16)	2726608931692185437	0 6 24 36 66 74 84 102 104 122 132 140 170 182 200 206	-604214482694
STPT(10)	2726609155060385897	0 2 30 32 42 44 54 56 84 86	-380846282234
STPT(10)	2726609194855281341	0 2 156 158 168 170 180 182 336 338	-341051386790
SPT(16)	2726609245085031461	0 36 38 116 138 156 206 218 228 240 290 308 330 408 410 446	-290821636670
SPT(16)	2726609539485879599	0 18 48 60 122 158 164 170 252 258 264 300 362 374 404 422	3579211468
STPT(10)	2726609613634039919	0 2 42 44 60 62 78 80 120 122	77727371788
STPT(10)	2726610272697412217	0 2 30 32 42 44 54 56 84 86	736790744086
TPT(14)	2726610527027693387	0 2 30 32 90 92 132 134 144 146 240 242 354 356	991121025256
SPT(16)	2726610598354131299	0 2 62 132 150 210 282 318 332 368 440 500 518 588 648 650	1062447463168