Prime p₀= 2039130265538290751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: Landjunge
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2039129009356153633	0 6 46 66 94 114 210 220 234 244 340 360 388 408 448 454	-1256182137118
SPT(16)	2039129219918937151	0 12 18 22 48 90 96 118 180 202 208 250 276 280 286 298	-1045619353600
SPT(16)	2039129390837086283	0 36 54 60 120 138 156 186 218 248 266 284 344 350 368 404	-874701204468
SPT(16)	2039129904585361963	0 6 34 70 78 96 154 166 168 180 238 256 264 300 328 334	-360952928788
STPT(10)	2039130072767372909	0 2 42 44 60 62 78 80 120 122	-192770917842
STPT(10)	2039130177716592869	0 2 18 20 30 32 42 44 60 62	-87821697882
SPT(16)	2039130588248225827	0 12 36 40 132 144 166 174 202 210 232 244 336 340 364 376	322709935076
TPT(14)	2039130649178272577	0 2 42 44 54 56 72 74 90 92 144 146 174 176	383639981826
STPT(10)	2039130937981094051	0 2 6 8 48 50 90 92 96 98	672442803300
SPT(16)	2039131308615986071	0 6 42 90 100 102 130 138 160 168 196 198 208 256 292 298	1043077695320
STPT(10)	2039131546745581817	0 2 12 14 42 44 72 74 84 86	1281207291066