Prime p₀= 2649828251223976313 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 18 42 2 4 50 6 4 6 50 4 2 42 18 18 (?)
a_n: 0 18 36 78 80 84 134 140 144 150 200 204 206 248 266 284
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: 284
Found by: JayPi
db: batch=82, k=16, 18 18 42 2 4 50 6 4

SPT(16)	2649827273141376071	0 6 120 122 132 216 260 272 330 342 386 470 480 482 596 602	-978082600242
STPT(10)	2649827582887610309	0 2 18 20 30 32 42 44 60 62	-668336366004
SPT(16)	2649827592926921551	0 28 40 72 102 148 156 162 166 172 180 226 256 288 300 328	-658297054762
SPT(16)	2649827612768533529	0 14 30 48 54 104 138 140 168 170 204 254 260 278 294 308	-638455442784
STPT(10)	2649827905553187389	0 2 18 20 30 32 42 44 60 62	-345670788924
STPT(10)	2649828132177556877	0 2 30 32 42 44 54 56 84 86	-119046419436
STPT(10)	2649828400390819931	0 2 6 8 48 50 90 92 96 98	149166843618
STPT(10)	2649828839604039419	0 2 18 20 30 32 42 44 60 62	588380063106
TPT(14)	2649829015523568377	0 2 30 32 72 74 132 134 174 176 210 212 270 272	764299592064
STPT(10)	2649829139538046559	0 2 42 44 60 62 78 80 120 122	888314070246
SPT(16)	2649829208775275519	0 12 42 80 122 144 152 210 212 270 278 300 342 380 410 422	957551299206