Prime p₀= 1382467125319284727 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 24 22 38 42 60 6 12 66 6 4 6 66 12 6 60 42 38 22 24 (?)
a_n: 0 24 46 84 126 186 192 204 270 276 280 286 352 364 370 430 472 510 532 556
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 556
Found by: Theadalus
db: batch=77, k=20, 24 22 38 42 60 6 12 66 6 4

STPT(10)	1382466807165437429	0 2 18 20 60 62 102 104 120 122	-318153847298
STPT(10)	1382466859546915691	0 2 6 8 48 50 90 92 96 98	-265772369036
SPT(16)	1382467017748322923	0 4 48 58 60 84 118 120 124 126 160 184 186 196 240 244	-107570961804
SPT(16)	1382467063210646887	0 4 22 70 130 132 160 174 190 204 232 234 294 342 360 364	-62108637840
SPT(16)	1382467097016050767	0 46 100 112 120 124 172 184 192 204 252 256 264 276 330 376	-28303233960
SPT(16)	1382467112634854149	0 4 12 22 24 52 144 154 180 190 282 310 312 322 330 334	-12684430578
SPT(16)	1382468706993016469	0 12 32 38 54 68 78 80 222 224 234 248 264 270 290 302	1581673731742
SPT(16)	1382468882663198647	0 4 16 100 132 184 186 240 286 340 342 394 426 510 522 526	1757343913920
STPT(10)	1382468991070381967	0 2 30 32 42 44 54 56 84 86	1865751097240
STPT(10)	1382469217156997909	0 2 18 20 30 32 42 44 60 62	2091837713182
SPT(16)	1382469506551234061	0 2 6 72 98 176 186 198 230 242 252 330 356 422 426 428	2381231949334