Prime p₀= 1058164059041889851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

TPT(14)	1058163244025971247	0 2 90 92 132 134 234 236 360 362 444 446 462 464	-815015918604
SPT(16)	1058163259589091683	0 24 56 96 114 128 158 200 234 276 306 320 338 378 410 434	-799452798168
STPT(10)	1058163384050101211	0 2 36 38 78 80 120 122 156 158	-674991788640
SPT(16)	1058163712126771807	0 6 36 60 64 84 90 124 126 160 166 186 190 214 244 250	-346915118044
SPT(16)	1058163775680395977	0 6 52 60 94 150 190 192 214 216 256 312 346 354 400 406	-283361493874
SPT(16)	1058163945332310599	0 14 18 38 48 60 68 98 150 180 188 200 210 230 234 248	-113709579252
STPT(10)	1058164422568120139	0 2 18 20 30 32 42 44 60 62	363526230288
STPT(10)	1058164596567304307	0 2 54 56 72 74 90 92 144 146	537525414456
SPT(16)	1058164644114662639	0 2 48 192 198 230 240 242 300 302 312 344 350 494 540 542	585072772788
STPT(10)	1058164974479371667	0 2 30 32 42 44 54 56 84 86	915437481816
SPT(16)	1058165250877381961	0 66 80 90 122 198 222 248 300 326 350 426 458 468 482 548	1191835492110