Prime p₀= 2402358546406351409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Penguin
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2402356832247454793	0 8 18 60 68 78 90 138 266 314 326 336 344 386 396 404	-1714158896616
STPT(10)	2402356902725076749	0 2 48 50 90 92 132 134 180 182	-1643681274660
SPT(16)	2402356962582128579	0 2 32 42 44 62 104 110 144 150 192 210 212 222 252 254	-1583824222830
SPT(16)	2402357012480547511	0 16 30 46 120 132 160 162 250 252 280 292 366 382 396 412	-1533925803898
STPT(10)	2402357367332396519	0 2 12 14 90 92 168 170 180 182	-1179073954890
SPT(16)	2402357643863836961	0 60 78 120 156 158 198 210 278 290 330 332 368 410 428 488	-902542514448
STPT(10)	2402358751541881511	0 2 36 38 78 80 120 122 156 158	205135530102
STPT(10)	2402358936323529917	0 2 24 26 42 44 60 62 84 86	389917178508
STPT(10)	2402359100263848197	0 2 90 92 132 134 174 176 264 266	553857496788
SPT(16)	2402359166540055473	0 24 56 114 164 210 230 234 266 270 290 336 386 444 476 500	620133704064
SPT(16)	2402359386366797999	0 38 42 72 78 108 110 140 150 180 182 212 218 248 252 290	839960446590