Prime p₀= 3016108425202604183 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 28 20 54 18 6 54 58 54 6 18 54 20 28 8 (?)
a_n: 0 8 36 56 110 128 134 188 246 300 306 324 378 398 426 434
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: 434
Found by: JonS
db: batch=82, k=16, 8 28 20 54 18 6 54 58

SPT(16)	3016107641894097131	0 6 12 62 156 170 198 212 306 320 348 362 456 506 512 518	-783308507052
STPT(10)	3016107880544267651	0 2 6 8 18 20 30 32 36 38	-544658336532
STPT(10)	3016107895769680037	0 2 30 32 42 44 54 56 84 86	-529432924146
SPT(16)	3016107974535218671	0 6 28 52 82 96 162 168 190 196 262 276 306 330 352 358	-450667385512
SPT(16)	3016108033521362387	0 24 26 72 90 164 174 192 314 332 342 416 434 480 482 506	-391681241796
STPT(10)	3016108033568978399	0 2 18 20 30 32 42 44 60 62	-391633625784
SPT(16)	3016108510129844047	0 24 36 42 64 76 106 112 114 120 150 162 184 190 202 226	84927239864
SPT(16)	3016108528921369117	0 4 22 60 82 112 120 124 132 136 144 174 196 234 252 256	103718764934
SPT(16)	3016108595911523209	0 10 30 34 100 118 168 172 180 184 234 252 318 322 342 352	170708919026
TPT(14)	3016108679538110207	0 2 102 104 120 122 210 212 240 242 330 332 342 344	254335506024
SPT(16)	3016108694780027411	0 26 42 48 60 80 90 102 146 158 168 188 200 206 222 248	269577423228