Prime p₀= 1245087642422409857 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: gemini8
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1245085981459957067	0 2 30 32 72 74 114 116 144 146	-1660962452790
SPT(16)	1245086096766011221	0 10 18 42 46 100 126 130 168 172 198 252 256 280 288 298	-1545656398636
TPT(14)	1245086486427360677	0 2 60 62 90 92 114 116 204 206 270 272 282 284	-1155995049180
STPT(10)	1245086746317880559	0 2 30 32 60 62 90 92 120 122	-896104529298
STPT(10)	1245086853178572587	0 2 30 32 42 44 54 56 84 86	-789243837270
STPT(10)	1245087569388655541	0 2 6 8 48 50 90 92 96 98	-73033754316
SPT(16)	1245087673374357919	0 22 28 30 64 78 94 204 298 408 424 438 472 474 480 502	30951948062
STPT(10)	1245087929722170929	0 2 48 50 90 92 132 134 180 182	287299761072
SPT(16)	1245087980264527517	0 2 56 66 74 86 104 132 164 192 210 222 230 240 294 296	337842117660
SPT(16)	1245088025166475169	0 38 72 98 122 144 164 170 192 198 218 240 264 290 324 362	382744065312
STPT(10)	1245088422045789047	0 2 24 26 42 44 60 62 84 86	779623379190