Prime p₀= 1458791062890017609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: vinn@[CNT]
db: batch=78, k=10, 2 16 2 10 2

STPT(10)	1458790316067715637	0 2 30 32 42 44 54 56 84 86	-746822301972
STPT(10)	1458790331800823249	0 2 48 50 90 92 132 134 180 182	-731089194360
SPT(16)	1458790666048737877	0 30 66 72 120 126 130 142 204 216 220 226 274 280 316 346	-396841279732
STPT(10)	1458790810378324901	0 2 30 32 78 80 126 128 156 158	-252511692708
SPT(13)	1458790902742771229	0 30 42 84 102 144 192 240 282 300 342 354 384	-160147246380
SPT(16)	1458790961436865151	0 2 8 12 68 102 120 156 182 218 236 270 326 330 336 338	-101453152458
SPT(16)	1458791188480537459	0 48 60 72 100 108 144 234 238 328 364 372 400 412 424 472	125590519850
SPT(16)	1458791980145332841	0 12 50 56 72 128 158 162 176 180 210 266 282 288 326 338	917255315232
STPT(10)	1458792166314653627	0 2 30 32 72 74 114 116 144 146	1103424636018
SPT(13)	1458792180785652883	0 24 84 114 126 144 150 156 174 186 216 276 300	1117895635274
STPT(10)	1458792371082684887	0 2 12 14 42 44 72 74 84 86	1308192667278