Prime p₀= 1556690383118983999 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 64 26 40 20 10 8 6 34 6 8 10 20 40 26 64 (?)
a_n: 0 64 90 130 150 160 168 174 208 214 222 232 252 292 318 382
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: 382
Found by: crashtech
db: batch=78, k=16, 64 26 40 20 10 8 6 34

SPT(16)	1556689775415450821	0 26 48 66 80 90 96 182 186 272 278 288 302 320 342 368	-607703533178
STPT(10)	1556689834772725517	0 2 12 14 72 74 132 134 144 146	-548346258482
SPT(16)	1556689985316532513	0 16 18 24 28 58 66 84 100 118 126 156 160 166 168 184	-397802451486
STPT(10)	1556690062577914079	0 2 12 14 90 92 168 170 180 182	-320541069920
SPT(16)	1556690111718664073	0 20 48 74 78 116 128 156 158 186 198 236 240 266 294 314	-271400319926
STPT(10)	1556690242642173971	0 2 96 98 138 140 180 182 276 278	-140476810028
STPT(10)	1556690995336993301	0 2 30 32 60 62 90 92 120 122	612218009302
SPT(20)	1556691065834311709	0 18 42 44 54 60 68 84 92 102 110 120 128 144 152 158 168 170 194 212	682715327710
SPT(16)	1556691180070722341	0 32 42 72 132 150 156 192 266 302 308 326 386 416 426 458	796951738342
SPT(16)	1556691268265102867	0 2 6 32 66 120 156 162 170 176 212 266 300 326 330 332	885146118868
STPT(10)	1556691641857802531	0 2 6 8 48 50 90 92 96 98	1258738818532