Prime p₀= 2327433790394118347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2327431851898539307	0 22 34 54 70 84 94 124 162 192 202 216 232 252 264 286	-1938495579040
SPT(16)	2327432172189842051	0 36 38 66 120 140 146 152 246 252 258 278 332 360 362 398	-1618204276296
SPT(16)	2327432200691109989	0 32 60 72 98 122 144 234 338 428 450 474 500 512 540 572	-1589703008358
SPT(16)	2327432225710534477	0 34 52 84 90 100 112 124 150 162 174 184 190 222 240 274	-1564683583870
SPT(16)	2327433265688290681	0 10 22 28 48 102 138 148 192 202 238 292 312 318 330 340	-524705827666
SPT(16)	2327433713043300431	0 12 20 36 42 48 50 78 110 138 140 146 152 168 176 188	-77350817916
STPT(10)	2327433905495788259	0 2 18 20 30 32 42 44 60 62	115101669912
STPT(10)	2327434197802606271	0 2 36 38 78 80 120 122 156 158	407408487924
TPT(14)	2327434211214579197	0 2 42 44 54 56 120 122 174 176 210 212 234 236	420820460850
SPT(16)	2327434579355098639	0 4 70 88 108 112 142 144 208 210 240 244 264 282 348 352	788960980292
STPT(10)	2327435066764269071	0 2 36 38 78 80 120 122 156 158	1276370150724