Prime p₀= 2081730722451473297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2081729944629806351	0 12 26 38 48 56 116 122 126 132 192 200 210 222 236 248	-777821666946
STPT(10)	2081729976060561017	0 2 42 44 72 74 102 104 144 146	-746390912280
STPT(10)	2081730217853825681	0 2 6 8 18 20 30 32 36 38	-504597647616
SPT(16)	2081730412935140003	0 18 38 54 84 98 110 144 200 234 246 260 290 306 326 344	-309516333294
STPT(10)	2081730664976074457	0 2 42 44 72 74 102 104 144 146	-57475398840
TPT(14)	2081730671370783551	0 2 96 98 108 110 150 152 156 158 180 182 186 188	-51080689746
SPT(16)	2081731093792002041	0 12 30 36 48 56 72 78 110 116 132 140 152 158 176 188	371340528744
SPT(16)	2081731219804002433	0 16 76 94 118 120 148 150 154 156 184 186 210 228 288 304	497352529136
STPT(10)	2081731935474707531	0 2 36 38 78 80 120 122 156 158	1213023234234
SPT(16)	2081732071394290373	0 36 50 60 66 86 266 290 330 354 534 554 560 570 584 620	1348942817076
SPT(16)	2081732587029514297	0 4 6 36 84 90 112 160 216 264 286 292 340 370 372 376	1864578041000