Prime p₀= 3007876653049699933 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 50 16 74 18 28 14 4 14 28 18 74 16 50 10 (?)
a_n: 0 10 60 76 150 168 196 210 214 228 256 274 348 364 414 424
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: 424
Found by: Orange Kid
db: batch=82, k=16, 10 50 16 74 18 28 14 4

SPT(16)	3007873565348042047	0 12 34 42 90 142 166 192 244 270 294 346 394 402 424 436	-3087701657886
SPT(16)	3007873633398244561	0 40 82 132 192 216 240 250 312 322 346 370 430 480 522 562	-3019651455372
TPT(14)	3007874100697395821	0 2 6 8 48 50 66 68 78 80 126 128 138 140	-2552352304112
SPT(16)	3007874556356068757	0 14 44 86 120 122 182 194 222 234 294 296 330 372 402 416	-2096693631176
STPT(10)	3007874617754338427	0 2 30 32 42 44 54 56 84 86	-2035295361506
STPT(10)	3007876007975464991	0 2 30 32 78 80 126 128 156 158	-645074234942
SPT(16)	3007877225298154663	0 10 28 46 70 76 88 90 136 138 150 156 180 198 216 226	572248454730
SPT(16)	3007877442116294257	0 6 12 24 46 66 72 82 144 154 160 180 202 214 220 226	789066594324
SPT(16)	3007877911530359363	0 14 30 84 140 146 170 174 236 240 264 270 326 380 396 410	1258480659430
STPT(10)	3007878182806277117	0 2 30 32 42 44 54 56 84 86	1529756577184
SPT(16)	3007878391896642689	0 12 20 32 62 78 98 132 188 222 242 258 288 300 308 320	1738846942756