Prime p₀= 2004365759258568887 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)	2004365069743176863	0 60 74 98 108 114 128 140 144 156 170 176 186 210 224 284	-689515392024
SPT(16)	2004365166347086729	0 28 82 102 142 154 174 180 202 208 228 240 280 300 354 382	-592911482158
STPT(10)	2004365234280248129	0 2 42 44 90 92 138 140 180 182	-524978320758
SPT(16)	2004365415393025849	0 42 72 108 118 138 162 178 222 238 262 282 292 328 358 400	-343865543038
SPT(16)	2004365477797002037	0 6 54 82 100 130 196 204 292 300 366 396 414 442 490 496	-281461566850
SPT(16)	2004365733724495811	0 26 60 96 176 180 200 228 260 288 308 312 392 428 462 488	-25534073076
STPT(10)	2004365779658965871	0 2 30 32 78 80 126 128 156 158	20400396984
TPT(14)	2004366499766562851	0 2 78 80 108 110 138 140 150 152 210 212 216 218	740507993964
STPT(10)	2004366792802848317	0 2 30 32 42 44 54 56 84 86	1033544279430
STPT(10)	2004366813902180639	0 2 18 20 30 32 42 44 60 62	1054643611752
STPT(10)	2004366899700976607	0 2 24 26 42 44 60 62 84 86	1140442407720