Prime p₀= 2004324076260989027 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=80, k=10, 2 28 2 10 2

SPT(16)	2004322991590460257	0 30 66 84 90 94 114 210 226 322 342 346 352 370 406 436	-1084670528770
STPT(10)	2004323097553006091	0 2 36 38 78 80 120 122 156 158	-978707982936
TPT(14)	2004323615863883849	0 2 42 44 150 152 162 164 192 194 300 302 342 344	-460397105178
SPT(16)	2004323632109954513	0 44 78 108 114 144 180 186 218 224 260 290 296 326 360 404	-444151034514
STPT(10)	2004323672176543301	0 2 78 80 108 110 138 140 216 218	-404084445726
SPT(16)	2004323773353584027	0 2 14 20 60 122 146 156 200 210 234 296 336 342 354 356	-302907405000
SPT(16)	2004324083749182053	0 6 36 56 74 110 126 140 144 158 174 210 228 248 278 284	7488193026
STPT(10)	2004324208839769811	0 2 36 38 78 80 120 122 156 158	132578780784
SPT(16)	2004324484984959583	0 36 66 70 78 96 160 220 246 306 370 388 396 400 430 466	408723970556
SPT(16)	2004324677203442779	0 40 42 54 58 84 108 132 160 184 208 234 238 250 252 292	600942453752
STPT(12)	2004324814859814719	0 2 30 32 72 74 108 110 150 152 180 182	738598825692