Prime p₀= 2004392705576931581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Dingo
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2004391970451510113	0 14 18 26 48 110 116 168 236 288 294 356 378 386 390 404	-735125421468
STPT(10)	2004391982716519937	0 2 72 74 102 104 132 134 204 206	-722860411644
SPT(16)	2004392329099180337	0 6 14 20 36 104 120 146 150 176 192 260 276 282 290 296	-376477751244
SPT(16)	2004392379843213337	0 24 82 106 150 186 204 214 252 262 280 316 360 384 442 466	-325733718244
SPT(16)	2004392592364315397	0 2 32 54 66 74 84 116 150 182 192 200 212 234 264 266	-113212616184
TPT(14)	2004392652090938531	0 2 156 158 186 188 246 248 270 272 288 290 366 368	-53485993050
SPT(16)	2004392804871810487	0 4 36 40 54 70 72 102 124 154 156 172 186 190 222 226	99294878906
STPT(10)	2004393305770037849	0 2 18 20 30 32 42 44 60 62	600193106268
TPT(14)	2004393565247188571	0 2 78 80 108 110 150 152 156 158 198 200 486 488	859670256990
SPT(13)	2004393652660136809	0 30 54 180 192 240 252 264 312 324 450 474 504	947083205228
SPT(16)	2004393992279326321	0 10 42 46 58 72 102 156 172 226 256 270 282 286 318 328	1286702394740