Prime p₀= 1458718676467971011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1458717713714779013	0 14 20 66 80 86 110 114 140 144 168 174 188 234 240 254	-962753191998
STPT(10)	1458717721588761551	0 2 30 32 78 80 126 128 156 158	-954879209460
SPT(16)	1458717794742669761	0 42 48 56 98 186 252 282 326 356 422 510 552 560 566 608	-881725301250
STPT(10)	1458717871820493857	0 2 24 26 42 44 60 62 84 86	-804647477154
STPT(10)	1458718008147853631	0 2 6 8 48 50 90 92 96 98	-668320117380
SPT(16)	1458718017432427951	0 6 58 90 108 136 148 162 196 210 222 250 268 300 352 358	-659035543060
STPT(10)	1458718725038695187	0 2 12 14 42 44 72 74 84 86	48570724176
STPT(10)	1458718739730697127	0 2 42 44 72 74 102 104 144 146	63262726116
SPT(16)	1458718788739254443	0 44 74 90 128 156 176 254 300 378 398 426 464 480 510 554	112271283432
SPT(16)	1458718909245516673	0 40 94 124 154 196 258 264 280 286 348 390 420 450 504 544	232777545662
SPT(18)	1458718944513674917	0 94 166 192 204 274 276 316 322 384 390 430 432 502 514 540 612 706	268045703906