Prime p₀= 2162756566890397067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2162755176953397731	0 18 38 60 66 152 200 216 242 258 306 392 398 420 440 458	-1389936999336
STPT(10)	2162755436010698327	0 2 30 32 42 44 54 56 84 86	-1130879698740
STPT(10)	2162755556273167937	0 2 42 44 72 74 102 104 144 146	-1010617229130
STPT(10)	2162755812156609149	0 2 18 20 30 32 42 44 60 62	-754733787918
SPT(16)	2162755815763139557	0 94 154 156 202 210 246 276 280 310 346 354 400 402 462 556	-751127257510
SPT(16)	2162756056351012387	0 16 24 30 42 70 82 96 100 114 126 154 166 172 180 196	-510539384680
SPT(16)	2162756822398756189	0 40 64 88 124 138 154 222 280 348 364 378 414 438 462 502	255508359122
TPT(14)	2162757194210520161	0 2 90 92 156 158 168 170 258 260 300 302 456 458	627320123094
STPT(10)	2162757233295425519	0 2 18 20 30 32 42 44 60 62	666405028452
SPT(16)	2162757513373487383	0 6 34 48 70 150 160 166 168 174 184 264 286 300 328 334	946483090316
SPT(16)	2162757710683063667	0 12 32 42 62 120 134 182 222 270 284 342 362 372 392 404	1143792666600