Prime p₀= 2004356038876014347 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2004355008114003497	0 2 30 32 120 122 210 212 240 242	-1030762010850
SPT(16)	2004355082517083477	0 24 30 42 56 62 84 96 200 212 234 240 254 266 272 296	-956358930870
TPT(14)	2004355199931571229	0 2 12 14 108 110 138 140 150 152 162 164 240 242	-838944443118
STPT(10)	2004355489060042211	0 2 30 32 60 62 90 92 120 122	-549815972136
STPT(10)	2004355589276901737	0 2 30 32 60 62 90 92 120 122	-449599112610
SPT(16)	2004355789507917137	0 14 62 80 102 120 132 140 144 152 164 182 204 222 270 284	-249368097210
SPT(16)	2004356603521952417	0 6 20 80 84 86 92 114 392 414 420 422 426 486 500 506	564645938070
SPT(16)	2004356700677348081	0 38 80 86 98 110 116 138 140 162 168 180 192 198 240 278	661801333734
SPT(16)	2004357209797749791	0 8 26 32 36 48 50 102 176 228 230 242 246 252 270 278	1170921735444
SPT(16)	2004357461648359373	0 30 48 54 80 110 156 168 176 188 234 264 290 296 314 344	1422772345026
STPT(10)	2004357665072020541	0 2 6 8 48 50 90 92 96 98	1626196006194