Prime p₀= 3029428827290056307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3029427748596337801	0 42 100 108 160 168 220 280 390 450 502 510 562 570 628 670	-1078693718506
SPT(16)	3029427924803979967	0 60 66 72 102 132 156 202 210 256 280 310 340 346 352 412	-902486076340
SPT(16)	3029428217342341271	0 20 30 72 80 146 158 212 246 300 312 378 386 428 438 458	-609947715036
STPT(10)	3029428600936894757	0 2 30 32 42 44 54 56 84 86	-226353161550
STPT(10)	3029428684601698241	0 2 36 38 78 80 120 122 156 158	-142688358066
STPT(10)	3029428732900366409	0 2 18 20 30 32 42 44 60 62	-94389689898
SPT(16)	3029429073608198237	0 6 44 54 72 84 116 144 182 210 242 254 272 282 320 326	246318141930
SPT(16)	3029429312150245777	0 6 34 36 64 66 114 160 240 286 334 336 364 366 394 400	484860189470
SPT(16)	3029429721847641331	0 10 16 18 30 48 58 60 118 120 130 148 160 162 168 178	894557585024
TPT(14)	3029429906781150599	0 2 42 44 72 74 180 182 192 194 210 212 240 242	1079491094292
SPT(16)	3029430031866829229	0 14 30 42 78 132 140 144 158 162 170 224 260 272 288 302	1204576772922