Prime p₀= 2784816424514944823 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 14 24 4 30 56 54 58 54 56 30 4 24 14 6 (?)
a_n: 0 6 20 44 48 78 134 188 246 300 356 386 390 414 428 434
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: JayPi
db: batch=82, k=16, 6 14 24 4 30 56 54 58

SPT(16)	2784814747842174319	0 4 10 24 42 48 60 90 112 142 154 160 178 192 198 202	-1676672770504
SPT(16)	2784814900532764867	0 22 42 52 54 66 96 124 132 160 190 202 204 214 234 256	-1523982179956
SPT(16)	2784815388902510729	0 8 78 104 110 132 192 254 258 320 380 402 408 434 504 512	-1035612434094
STPT(10)	2784815509481181227	0 2 42 44 102 104 162 164 204 206	-915033763596
STPT(10)	2784815652822149027	0 2 54 56 72 74 90 92 144 146	-771692795796
STPT(10)	2784816372414730499	0 2 18 20 30 32 42 44 60 62	-52100214324
SPT(16)	2784817086461515367	0 12 14 30 36 42 72 120 296 344 374 380 386 402 404 416	661946570544
STPT(10)	2784817252660806029	0 2 42 44 60 62 78 80 120 122	828145861206
SPT(16)	2784817388729687777	0 6 12 72 114 116 126 156 200 230 240 242 284 344 350 356	964214742954
SPT(16)	2784817930777529611	0 6 30 42 52 72 90 132 136 178 196 216 226 238 262 268	1506262584788
STPT(10)	2784818179317090899	0 2 12 14 90 92 168 170 180 182	1754802146076