Prime p₀= 2004327284614073987 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: Orange Kid
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2004325290893054863	0 16 54 66 100 126 154 180 214 240 268 294 328 340 378 394	-1993721019124
STPT(10)	2004325449327816911	0 2 6 8 18 20 30 32 36 38	-1835286257076
STPT(10)	2004325919924947649	0 2 30 32 60 62 90 92 120 122	-1364689126338
SPT(16)	2004326495411580233	0 18 38 66 98 110 186 200 216 230 306 318 350 378 398 416	-789202493754
SPT(16)	2004326550705065929	0 12 30 34 82 90 108 138 154 184 202 210 258 262 280 292	-733909008058
SPT(16)	2004326727709764893	0 84 120 138 144 168 198 200 264 266 296 320 326 344 380 464	-556904309094
STPT(10)	2004327505869066359	0 2 42 44 60 62 78 80 120 122	221254992372
SPT(16)	2004327626327150731	0 76 78 88 190 228 246 256 360 370 388 426 528 538 540 616	341713076744
TPT(14)	2004328109670415187	0 2 84 86 162 164 180 182 192 194 222 224 234 236	825056341200
SPT(16)	2004328175701013101	0 10 36 46 60 70 102 136 162 196 228 238 252 262 288 298	891086939114
SPT(16)	2004328218248881979	0 2 42 54 102 108 180 182 240 242 314 320 368 380 420 422	933634807992