Prime p₀= 2561266530711327581 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2561264591033208103	0 4 28 46 84 94 130 198 226 294 330 340 378 396 420 424	-1939678119478
SPT(16)	2561264762999249233	0 6 10 36 40 58 108 120 154 166 216 234 238 264 268 274	-1767712078348
SPT(16)	2561265076590838621	0 12 40 58 106 136 142 160 198 216 222 252 300 318 346 358	-1454120488960
STPT(10)	2561265236050954721	0 2 36 38 78 80 120 122 156 158	-1294660372860
TPT(14)	2561265241866937367	0 2 12 14 114 116 144 146 192 194 222 224 234 236	-1288844390214
STPT(10)	2561265349398433961	0 2 6 8 48 50 90 92 96 98	-1181312893620
SPT(16)	2561266712388376831	0 16 18 72 88 112 132 142 156 166 186 210 226 280 282 298	181677049250
STPT(10)	2561266921981167311	0 2 6 8 18 20 30 32 36 38	391269839730
SPT(16)	2561267077095289471	0 100 112 130 132 150 160 238 282 360 370 388 390 408 420 520	546383961890
SPT(16)	2561267264347358041	0 16 66 70 72 90 138 168 310 340 388 406 408 412 462 478	733636030460
SPT(16)	2561267401799066017	0 4 22 84 114 156 166 204 232 270 280 322 352 414 432 436	871087738436