Prime p₀= 1458672282826720397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Spectrum
db: batch=78, k=10, 2 58 2 40 2

SPT(16)	1458671110504318177	0 12 64 82 102 106 126 136 180 190 210 214 234 252 304 316	-1172322402220
SPT(16)	1458671206845060331	0 16 22 60 82 100 106 120 148 162 168 186 208 246 252 268	-1075981660066
STPT(10)	1458671724324063419	0 2 42 44 120 122 198 200 240 242	-558502656978
STPT(10)	1458671806499497547	0 2 24 26 42 44 60 62 84 86	-476327222850
SPT(16)	1458671906941164931	0 10 46 58 78 120 126 168 250 292 298 340 360 372 408 418	-375885555466
STPT(10)	1458672002366670137	0 2 54 56 72 74 90 92 144 146	-280460050260
SPT(16)	1458672541906475407	0 22 40 106 150 204 226 234 352 360 382 436 480 546 564 586	259079755010
SPT(16)	1458673041286718239	0 12 24 52 72 82 124 132 160 168 210 220 240 268 280 292	758459997842
STPT(10)	1458673076277456209	0 2 42 44 60 62 78 80 120 122	793450735812
SPT(16)	1458673143147463471	0 22 48 72 138 180 186 268 270 352 358 400 466 490 516 538	860320743074
SPT(16)	1458673364874574951	0 12 40 42 70 72 88 102 208 222 238 240 268 270 298 310	1082047854554