Prime p₀= 3029824304295474767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	3029822523883003021	0 28 52 60 88 196 250 280 318 348 402 510 538 546 570 598	-1780412471746
SPT(16)	3029822926171502777	0 12 114 122 140 162 170 192 224 246 254 276 294 302 404 416	-1378123971990
SPT(20)	3029823373295346997	0 12 40 42 46 90 130 144 154 180 196 222 232 246 286 330 334 336 364 376	-931000127770
SPT(16)	3029823400219985311	0 10 22 52 60 106 120 138 220 238 252 298 306 336 348 358	-904075489456
SPT(16)	3029823713031631973	0 20 66 74 86 98 114 146 168 200 216 228 240 248 294 314	-591263842794
SPT(16)	3029823849599056051	0 10 66 70 72 90 112 126 142 156 178 196 198 202 258 268	-454696418716
TPT(14)	3029824469573241731	0 2 108 110 276 278 306 308 360 362 438 440 450 452	165277766964
STPT(10)	3029824587494293187	0 2 30 32 42 44 54 56 84 86	283198818420
STPT(10)	3029824781028916877	0 2 30 32 42 44 54 56 84 86	476733442110
STPT(10)	3029824927679093387	0 2 30 32 42 44 54 56 84 86	623383618620
STPT(10)	3029825014776164609	0 2 42 44 90 92 138 140 180 182	710480689842