Prime p₀= 2004365234280248129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Orange Kid
db: batch=80, k=10, 2 40 2 46 2

SPT(16)	2004363133101956833	0 16 34 76 118 120 126 156 238 268 274 276 318 360 378 394	-2101178291296
STPT(10)	2004363465749590997	0 2 72 74 102 104 132 134 204 206	-1768530657132
STPT(10)	2004363652946484041	0 2 36 38 78 80 120 122 156 158	-1581333764088
TPT(14)	2004364888209298649	0 2 60 62 138 140 192 194 270 272 282 284 312 314	-346070949480
SPT(16)	2004365069743176863	0 60 74 98 108 114 128 140 144 156 170 176 186 210 224 284	-164537071266
SPT(16)	2004365166347086729	0 28 82 102 142 154 174 180 202 208 228 240 280 300 354 382	-67933161400
SPT(16)	2004365415393025849	0 42 72 108 118 138 162 178 222 238 262 282 292 328 358 400	181112777720
SPT(16)	2004365477797002037	0 6 54 82 100 130 196 204 292 300 366 396 414 442 490 496	243516753908
SPT(16)	2004365733724495811	0 26 60 96 176 180 200 228 260 288 308 312 392 428 462 488	499444247682
STPT(10)	2004365759258568887	0 2 30 32 42 44 54 56 84 86	524978320758
STPT(10)	2004365779658965871	0 2 30 32 78 80 126 128 156 158	545378717742