Prime p₀= 1588309424733684449 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: emoga
db: batch=78, k=10, 2 16 2 10 2

STPT(10)	1588308582952127579	0 2 12 14 90 92 168 170 180 182	-841781556870
STPT(10)	1588308728655772547	0 2 30 32 72 74 114 116 144 146	-696077911902
SPT(16)	1588309048542461683	0 18 40 76 144 154 210 246 298 334 390 400 468 504 526 544	-376191222766
SPT(16)	1588309054702775359	0 48 52 78 100 114 118 154 198 234 238 252 274 300 304 352	-370030909090
SPT(16)	1588309151533315907	0 14 50 104 120 126 146 204 356 414 434 440 456 510 546 560	-273200368542
SPT(16)	1588309408178232073	0 10 36 66 76 90 96 120 124 148 154 168 178 208 234 244	-16555452376
SPT(16)	1588310365472564317	0 22 30 52 82 96 124 126 190 192 220 234 264 286 294 316	940738879868
STPT(10)	1588310426863251197	0 2 12 14 42 44 72 74 84 86	1002129566748
STPT(10)	1588310482108500119	0 2 12 14 30 32 48 50 60 62	1057374815670
SPT(16)	1588310903345163671	0 18 56 60 62 72 92 122 126 156 176 186 188 192 230 248	1478611479222
STPT(10)	1588310938975194491	0 2 36 38 78 80 120 122 156 158	1514241510042